{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Tsvkr8r+cQ8zwqYim8kVUFC4sFLN2FalOs/Y/ufjiizEajbz++utYrVaSk5Or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\n8+bN48UXX0SrbXh1bleuXInT6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XWzPamApwZFM6pTYJ3eW1EUSl0yOSUuZEVBQMDXoDpt\nUVhemYudqcXMG9KqSoCN9tMjy7D2gIMWfnrySk+lGv1NGgxqEUEQKK7wYDxNMZSvXkVphYeMoooG\nC85uj8zLv6ZwUbjFu3oe05a+f7qDLfsjg1s+OUiwWcsDl0XUagUdYNIw76qWrDuUw+Fsbwr++i6B\nXFyDpGpj3TgcDgfx8fGNcu7CwkI2bdrEww8/THh4eGV6uyFIX3w3ktEH+3WPIGoNqGzBOJYvwP/m\n2V6JzwvsRvsXokaPrmX1SYwgCKjtdbP+FHUGDPG9yf/2fQxhMX+meRt+si1o9diG3Y1kMFdZrIha\nPX4jp3jtOeuIosgoiowmPAYUBXVoK4q2fInKGoAqIBzJZK2mhFbrc3vclO7fQt4XrxF836tew5MX\n7ybwjvlIPvYL5rvzrw7OgqTGctlost55DE9xHtYrxyNqDZTu/ZX8tW9iu2YSgrZ5iTYcyCzhj5Qi\nvtjv4PUtaXQMNtEm0MCEi0L49nAOgWY1MX9Lh5q1Kt4c3YaVuzJZuScbj6xwVZydbhF1F2A4nlPG\ny7+mcCizFKNGoqTCg92oZlLvUG/h0j8C1pGsUrQqkVCfqsFTFASi/HS8tyOdPWnFFDo9GDUSheVu\n4oKM3HVxGDH+BlrZDSzZnEqx010lLS8rCusTchnY2nbGlXddOZJdSmZRBSpRYEqfcPq0PBVEx3QK\nZPzHB1ifkMv4bkG1nhCoJJEh8f4MabBR1h29vuGdyf6eKh88eDDPPfccQUFBZ3hF7dFptSSq7PS8\ndU6lipYhrgfuK28gf917BE16DppZRut8o7gqKNryFblrXiXg9qcpP/IHGS/di9/oB1Hbw5DMVSeA\niizjzs9EZQ2os+mHIAioTmOvKajUVXS+a4tc4SRn5QsYO/bBnZtB8ZavCJz4LMXb1pHy9A34Db8P\ny8V17/lW3BUU/7aOvK/fwn/8TAwd+2CI74Vj2bM4lj2Lfdyj51TEdj751xSEyW4X7oKcKscEQUDX\nsgP+Nz9O6b7NFP70GWUJO8n9dDGWy8di6jGoWc2yUvLLuf6j/XQIMfHpTe3oGGzkRG4Z721LZ8zS\nfezPKOHxgdHVxlzq9PBbUiFaSaBDsInEvHJGvb+Xrw84kGtZzCHLCneuOoxZo+K1ka15c3Qb3h7T\nln4xvjzwxVH+SK1uwyYI3tV2TZ9gsdPD7rRiror3452xbXlzTBveuz4OX72K6WuPAhBl0xFk1jDm\ng30k/M1W8qv9Dj76I5M7e4XW/sOrzTUq4JZlDmWV0i/Gt6om75//uy+j5LQWl/8mcnNzOX78OEuW\nLGH79u1ceeWVHD16tEHOLYgiPv3GIOpOTTIFSYWl11D8Rt0PzdhR6nygyDJFv31NwYZlBN71POae\nV+E38n60Ue1IXzSJrPdmVyt8cx7fS/ZbM/AU1X2V2xiIag26Vh3JWbGQ3M9fxW/UA+jb9gDZgyc3\nk6JfViO7zqzDUBPu3ExKdv+IfdxjGDr28Zrv6Az4jbof0ehD6b5fGuFqGod/zfSzZNs3OFYuIuyx\nj1D5BSMIgrcCMTuVjEWTsVw+hry1b+JKO07QPYsx9RzcrAIzwNqDDgKMah663Ctv2LeVL78lFuKW\nFaatPUrvKB9a/cO/WVEU7l59hEhfHUtGtEar9t7Y1h3K4YE1CSDAoDZ+Z73WzSfzcZS4mNY/stKQ\nwRe45aIQEnPL2XQ8n65h5irnifE3UOFRSM53Ehd06qvmkb1OV0Pi/Lix26lUnq8e7r4knJHv7+VI\ndimx/gZeH9WG2etOcPmSnbQJMKAoCmkFFbw4PKbKyrYhaBNoxM+g5lhOOX8vzlYUhUNZpejUInaj\nmopaqKvVhKIoVHgUNp/Mr+zV7hHhg82obtSWtLKyxqlqt1qtjBkzBqvVynXXXceMGTMapJ2qrKyM\n+E5dqx0X1JpqBgj/RuTyUm/r0XWPoI/uAHj3b+1jHoQ/9cVT599KyP1LEHQGPIU5ZL31KD4Db0Q6\nzQr4fCOIEprgaBRFQS7OR/G4yFm+gNKDvxE572scKxaS/+Xr2IbfU6fzqvzDCLxjAYhilXuRZLLi\nP+5RaCLnrfrwrwnOph6DqchOIeudGfiNfhBdVBzOY7txrFiIdcjtaIKjKTu0DVFvwl2QjVJeitBE\nKkI14ZEVvjmYy/hup7Rt1ZLIJdHeAHXfpeG89Vs6N3cPruLylJRXTrHTzSP9IysDM3i1rpPzvUF1\nYGs/pLPEhuW7srgi1rdGp6Sh8XYe+CKBsZ0DCf5buteqU9El1Mzc9SeY2CuUGLsBl0fmm0M5LN6U\nwpIRraudy2ZQ4aNTcdsnB/n57q6oJZGnr2rJiA7+ZPzZk90mwEC039ktK0+HoigcyS7luyO5eGSv\n3EHfllY6hpi4v28E96w+wqu/pjCpdxgqSWBPWjGvb0llQIwvWpVEh5D6pdL3pBfz0qYUiis8BJk1\nlLtk5m9IYkKPYIa3D2gUdy673U5SUhIdOnRo8HP/RZ8+fQDYunVro73HX8juCsoP/46+dbdqalru\n/Gzk0iLUtbQCvFAR9QaCH3yzRpUz28j7sA66mZyVi8h84xGMXQeQv/YtLAOux3zJsCazhawJbWRb\nwmZ8TPH2b0l79la0LeKJePJzJLMvgbc9BbUUZfk7giDAaQp8T1f421z51wRnQVLhe9VtFKi1OD6c\ni338DLKXPYu51xC04a1xfPQMvtdMQhMaQ/b7cxAEEeugW5pNtbYggFWvIqu45lRPVnEFASZ1NQvH\n5bsyifE3EFSD+1NLPz0z151gev+osyp92Y1qkvPKa3wsp9RFmI+uml62ViUy6eJQvtzv4N7VR5AE\nAY+iEGbR0ivSUmPvsKJ4r/XiFlWtA7uGN4xJgUdW+CEhlxnfHKd3pA+RNh3ZJS7uXHWI+/uEc3U7\nfxa4WzJt7XHWHcpFFAV8dBLhPlp2pxfz4GWR+NWyv/ufPLcxiQ4hJu7oFYpZK+GWFfalFzNz3XH8\njRoGtT17BqOuBAQENNjKecyYMSQkJPD9999X8YP+6/wNIQqTkJBwxj1ypcJJzoqFmC8djs/loyt/\nn+7cDNJfmoKlzzDUwVGcTWHqQkYQxMqK6X8iqrWI1gD8x8/E8clzZL0zC/+bZ2PpfXWD+WQ3FIIo\nIWi0lB/5HZUtEKWsmIrMRPRm3wtKLKSxaD7TqPOAqNJgHXgjmvBYkh4aiC6mC5qQlqQ+eT0+A2/E\n2KU/mqBI7OMeo3DzFxRuWt1sVKhEQeDqeDvvbUunrMJTOS5FUShzeXh9SxrD2vtXa41q5Wcgu9iF\np4brkGWIDzSgPtuyGRjXJYjNiYWk5JdXeW+nW2bl7iwGxPpWC/CCIGDVqxnfLZhdD1zE9ind+OP+\n7qy9vSPXtvfn+4RcKtxV9W5P5JbhKHYxrV/jpC+T88t5ev1JnhnckheGxXJ/3wieGtySRVfHsOjn\nZE7mljO2cxArxrejxOUhIbuUP1KK+fVkAW+PieOm7sG17nX+OzklFSTllXN9l0AsOpW3OlcS6Rxm\nYVSHADYczcNdR6GT2mA0GsnNzT37E2uBXq/n5MmTrF+/vsrx3377DYCLLrronN+jrKzsjK5UksFM\nwMRnKfj+Q4r/+AFFlnHlpJP+0r1ogqOw9Bl5xorlM/2em8tv/VxRFAW5vISyA1sR9UaKfl6N4qpo\nVtenKApyRTk5y+ZTfnQ3YbNXYB18K6mPj/FqgivnLjl6oVOv4FxSUsLu3btJTfXKxxUVFXH8+PEG\nHVhjoCgKzuQjVKQdx3LZKCoSD1C48RMCJz+PuffVlasWTWhLAiY86dWlrYViz/mif4wv8UFG7vrs\nMBuP5rM7rYiNR/OYvOowrQMM9I+pvp80OM6P7JIKticXVvlxllR4WHvQwdD46gG9JlrZ9QyI8WXa\n2mOsP5LL7rQifjmRzwNrjpBdXMFlLc+8lyWKAipJRCV594K6h1tIL3TywJoEfj1R4D3f8XzmfHuC\nXlE++NTChrI+HMoqIdbfUOPKvFeUD2sPOFixK4s1+7O5MtbGDV0DWXZDPNumdOeielS4/8WafQ7C\nrFqCzdWrvH30al75NYWSioa/IXXr1q2yD/lcmTZtGmazmdmzZ7NhwwaKi4vZtm0bjz76KFqtlunT\np5/zexw+fJioqKgzPkcT0gL7DY+R/9WbFGxcjmPZfHStOhFw61NnTF3KFU6Kt3yJp7R68WJFZhLl\nR36/4IOCosg4j+8h9akbsPQdQcTcNajsIWS9MxN3TnqzCdCKx03el6/jyk4hbMZHqCw2zJdcS8Ck\nBeSsfJ7yI3809RCbnDoHZ6fTydy5c9m8eTOrV69m69atiKLIJ5980hjja1Dc2ak4ls3H2OkyAm6f\nh75Nd9x5mejjevyjMldA17IjgRPnIWp0TTjiqvjo1bw+qg1dwsy8/Esyc749wUu/pNA93MJ7Y9vi\nZ6yeutarJUZ2CGDOtydYvTebg5klbD6Rz63LD5JW6GRIW79aFSMJgsBTg1vSr5Uvr25OZc63J3h2\nQxItbHqWjGxDC7+6tetE2XQsvDqGcF8tz/xwkjnfnmDu9yfoF+PLYwOi6nSuuvDLiQJi/Q3VJiRq\nScBHp2LBxiQ+/D2D9kEmroi1YTNoeG1LCkcd55Yajgs0kl/mprgG0w6PojAg1oZW1fCpWH9/fwwG\nAwkJCed8rjZt2rBhwwb69OnD5MmTiY6OZty4cbRv355vv/2WLl3OXY1qz5499O3b94zPEQQRQ3xP\nrINvJfvdOSiucnyH3lmrPcXCTZ+Tt2YJ8t90rJ3JR0hfdCfO5MPnPP6mxnnyAI6P5+F79R34XDEe\nlW8A/jfNQrLYyPnkOZRaipw0OoqMZLZhv+6RyiI1QRAw9xqKddAEFLe7iQfY9NR5Q3Xv3r3069eP\nK664AoD169eTkJBAfn7DlujLsoznT7szlUp1zntx7twMkh8fhXXgTVivvAlBkvAdMhG5wknS9CFE\nPLUGle1Un6YgCAjNSHzkL3wNau6+JJy7L6m9XN7dl4TRNsDILcsPUFQhIwhw36VhzBwQhSTVfn5m\n0amY0COECT3qJpZQE4IgEGbV8Ui/KB7pd86nqzVxgUa2JXkr3P+ezvfICmUumfggI19M6FDZs31N\nO3+W7kjn2Q2JrL6lfb2/hz2jfPAoCtuTC+nXyreyW8DpVtiQkMuI9v7oGkmtrVu3buzevbtBzC9a\ntmzJG2+80QCjqk5KSspZ09rwp85zXhb5697F2PkyXBknKTu8HVO3K86Y0hY1WkIeeovUeTeT9/U7\n2K6djCs7hYwlD+DTdxTWAeMa+pLOO0pFOdbBt2LqOqDymKQ3YRs5hcKNK5Bld5PuZSpuF8V//ICx\n8+VYrxx/6rii4MpKoiL1KKZuVzThCJsPdQ7OQUFBpKWlsXPnTlq1asWAAQM4duwYJSUNZ3Kdl5fH\nd999V9k32blzZ/r27YvRWP9g6c7Lwvp/N+M7+NbKGbYgqfAbdjeCpMKdl1UlODcF3v1jmSKnG0UB\no0bCpJXOeWIiCAIDWts4ObM3fyW1JEH4n65oPR3dwiws35nJrtRiuoWfav3amVrMukM5vHhtbBUx\nFUkUuKK1jSWbU9mTXkzHelZqg3fffuHGJJLznAT7eKu1V+zKRKeWuKyVb53+HrKikFPiNeSQRAGb\nQX3avfD4+Hjef/99Ro4cWe+xnw92795N167VW6j+iduRhmPFc+hadcI+5mFKD/5G7qpFKM4yzD2v\nOmPhkyCKBNw8h+wP55KzapF3i6v3NVgH3dKQl9Jk6Ft3q/G4pDfhO3jCeR5NdWRnGSW7NlK85Svs\n46ajtod6J6kn95OzfAH6dr2hS/+mHmazoM7BOTQ0lIqKCjIzMyv3LyIjI7nxxvoZbv8TWZZZuHAh\niYmJ3HDDDbhcLpYsWYLH42HIkCH1Dija6PZoW7Sr1kogqNTYrr3rlMpEE5JeWMET351gf6Z3ohNh\n1TG9fyTtghumclFqRm0UTUWEr5Zr2vkz5fMjDGvvT6SvnpzSCt7+LR0BCLNW3xMONGvQqkVe35LG\nqzW0f9WWsZ0DifU38ObWNDSSQIVH4fKWvgzrEICfsfZ77C6PzKrdWby9LR2nW0YUYEicnfsuDa9W\nrQ/elfPKlSvZunUrPXv2rPf4G5PS0lI2btzIrFmzzvg8T3E+mW89ijayrVfBT6XCEN8TQf0I2e/M\nBPDWj5zhu64OboGl33WkP3sLutiumG95vEGv5T9Oj2S0YL/uEXI/ewnHR89gHz8DxeUkZ/kCDJ0v\nx3rF+LOf5F9CnYOzIAhER0cTHR196iQqVYNUaoJ3T9tut3PddddVagLv27ePAwcOMGjQIFSq+rU2\nCYJw2gDcHHr/dqcVMfTtPYzuGMDXt3VEIwm88msqg9/cxUc3tOPS6IYV3Pi3olNL3NojhJ4RFu79\n/Ajlbq+C2WMDIvlkVxZFzup7XWkFFRSXe3hq0Knv/A8JuYz5YB+5pW5UosCT/9eCKX0jzlhcp5ZE\nekT60CPS57TPqQ0v/+K1l/xwXBwdQ8wk5Zcz/L29bEzI4/3r4/CvoW3upptuYuHChXTo0AGDoXlJ\n0gKsXbuWrl27njWlLRosmC+5Bkvva05lwEQJQ5vuhD66FHdO2ll/z66sZHJXLcI+fgale3+h8KdP\nsV0zqcGu5T/OjMpsw3/co2S9/zhZb0zHeXI/PgNvxHrF+AuuF7kxqXWkKy4u5sEHH2TUqFH0798f\nh8NBQkICXbp0QattOFcgvV7PlClTKv9dUFDAkSNHGDx4MNI//nAej4e8vDwWLFiAj8+pG96NN954\n1qKS5oTLI/Po2mPcc0kY9/cJR/XnPvCUPuEEmNVMXHGI3x/oXqMASFOiKAoncst5+7dUfjlegCgI\niKI3fTuyY8BZe6fPRHqhk6w/RUd89CqibA2rDx0fbOKHSacKmDyy91oWb0phWr9IYv0NCIJAQZmb\nD3ak0ynUhK9BTV6pi3kbEtmZUsR7Y+OI9tNR5PSwZHMqd316mJeHx6JTN97fKb3AyRtbUll5U3vi\ng4wIgkCUTc8vd3dl4opDrN6bze09Q6plmOLi4oiMjGTDhg0MGdKUSt/VycnJ4ccff2Tx4sVnfa4g\nivhcOrzGx1RW/7PqPFdkJpH19mNeOdC+IzH1vIrs92bjWFGK9YobKN7xPdro9uhrMKf4X0FRFBRX\nBYJaU+17IrsqEESx8fUdJBWmiwaR/e5MkCRvtqOZBOZvv/2WFStWVP67sLCQ8PBwXC5Xg8a6s1Hr\nv4DT6aR3796VtnAWiwWr1cqKFSsYP75xUhEOh4NFixYRGBhI//79q32RJEnCYrFw55130rlz58rj\n57I33RSczC0ntbCC23qEVAZm8LYfDW8fwK2fHGLl7ixu6h58hrOcf/akFfPwV0fZkVxIiI8Wq15N\nck45M9cd52BmCQuurnsBkqx4LSVnrzuBzeAtBMwocjKtXxRD4vyqfD4NiSQKXNclkOItHiYsP0jv\nKB8MGokDGSUYtRJTL/P6yv6eUsSBjBLeva4toT7eSn5FUYj203PTsgP8dCyfgY1g/fgXK/dk0T7Y\nRNtAY5Xfg0EjcV2XQN7cmsaI06TJb7rpJp544gk6depEWFhYo42xrixdupThw4fj7193A4W64Ckt\nJP2FSZi6D8ST7yD9xXsImvw8/jfOIuvtGaQf3IqoN2PsdFmjjqOp8eRlkbf2TayDJ6D2O1XcKbsq\nKNywDEGjw+fyMY06BldWEvlfvYGl33W4c9LIWT4f+/gZqJu47ge8infdup3au9+1axfr16+vd9a2\nvtT6Tufn54fJZOLLL78kPz8fjUZD27ZtOXLkSKMMLC8vj1mzZiFJEs888wy+vjX30UqShNlsxs/P\nr/I/na75tD/VhuwSF2atiG8NylMGjUSFR2Hj0bwmGNnpURSFtQdz2HA0j3Fdg9hx/0VsursrW+7t\nRiu7nud/Sq4xRXw21uzN5pblB5nWP5I1t3bk8wkdeHFYa6Z+kcD72zMa4UpOEWTWMvPKFrw8PBaN\nSsQtK/SL8eWN0W1oH2xCVhR2phZxabRPZWAG75aJv0lD/xhfbl95ELkRxET+4mBmCS389DUWfwWb\nNexILiSn1FXDK0/Vhrz++uuUljaPlpqlS5dSXl5+XorVJIOFoLtewG/4vfjfPAeNfxgZrz6AZLJi\n6TsCT0EO9rGPoPZvPhOXxkDysSNodKTMHl3FDKhk+7cUbFiOvt3Fjfr+rtwMUmaPQtemO76DJuA/\n7lFEkxXH0rmN+r61Ra/XV4knFovF271znuuSah2cS0pK2Lx5M7///ju33347EydO5LHHHquSTm4o\nsrOzmTt3LvHx8UybNq3Bz9/ciAs0UFIhs/VkQbXHDmeWYDeqmPu3/c7mQH6Zm99TipjUO5QXh7Wu\n3GsNtmh5Y1QbWgcYWPRTUp3P+92RXBZe3Yqr4uyVxy6KsPDayNZsPHZ+Jiidwyw8NbglTw1uN+em\ndAAAIABJREFUyaSLw9D8uVp3ywp5pS4CTKdLbQno1RKuRgzON3QJYv2RXArKqk58FEVhfUIeE3uG\nEH2GnvO+ffsSFxdXqxRyY7N161YSEhLOWgTWkGjDvNkcQRQJmPgs2tAY0hdNwrF8AYGTnkMbUf+C\nvwsFQZLwG3EvpouHkvHyFMqP76Xw1zXkrXsX/5sfR21vWLe3v+MpLcKxdC4+V4zD9ldvuqTC3Hso\nZYe2kf3hU1We787PJvvDp6nISq7V+d25mThWPI8z8WCV43J5KblfvkHJnk0Ndi2NTa2Dc3FxMVde\neSWLFy/mlVde4e677yYuLo62bds26IBcLhfPPvssFRUV9O7dm6SkJA4dOkRqampl33NzJDExsd6v\n9dGpGNcliPs+P8LPx/OQFQVFUdiTVsx9axIY1yWomidyU1PodHPUUcrw9gHVHmtlN+BvUvPOtrqt\ndF0emaS88hqNJeKCTOSVutlVgzXl+UItCnQNt9Q4SXB7ZPZnlDDl0vBaKa7Vl4siLQSZNczbcLIy\nM1Hhlnltcyqr9mTRP9aG6izyopMnT8ZkMrF06dJGG+fZ2Lp1K6tWreLBBx9ssm0oQRRR2UOoSD+O\noNKg8mte20aNiaDSYB89FVPX/mS+OY28L18n4JYn0Lfp1qgrRFGjwzbiXmzX3o3wtzSxNrw15kuG\nUbT5SyoyvZN62eXE8fEzKLIblaV2W0WiyQeVLZDM1x+m/PhewGuxmfv5KziP70ET0rwWOWei1neR\nwMBA8vPzycvLIyAggLZt29K9e/cGd6LJzs5my5YtfPfdd4wdO5ZrrrmGa665hueff77ZpOJq4lzG\nJggCUy+L4KHLIxj34X76vPw7/Zb8wVVv7eL/Wtt44drYZteTbFBLBFu07EgprPZYdnEFxU6ZYHPd\nXGUkQUBWqDG4SCI4PXKtdMAbC0EQ6BZmZndqEQ9/eRTXn9aRHlnhw98z+CEht9HrAtSSyIfj4jmY\nWUq3Rdu58vWddH9hO4t+Tmbp9XFc3KJ2Vf1Tp04lNTWVF1544bz/rjZu3MiqVauYNWvWWauzG5Oi\nX9dQ+OMKQmcsw9CmOxmvPIC7wNFk4znfCJIK0WLDlXEST2EOKlvwGUVcGuQ9VWq0YbFVir8EQUAy\nWbFfPw1zz6vIfOV+XI400ubdjOwsx2/UA1W8vc+EqNFhHTAO68CbSF98F+VJh8j+cC4lv3+P/YbH\nGjUr0NDUaYe7T58+7N69m/79+1NYWMjbb79NREREgw4oJCSEX3/9tUHPeaEwvEMAsf5G9qYXoygQ\nbddzUXj9RS8aE1+Dmp6RFhb+mIzdoOaK1jZ0KomcEhcv/pLM8Zwydk3tXqdziqJAmFXLnrTiaqnZ\n/RklBBjVxAc1rVtNpE3Ppze3Z8Y3xxn9/j7CrFpKKjzklLhYeWM7DBoJp1tmT1oxqYVeXXZfvYqe\nkT4NtqL2Naj54Po4vj+cS6nLg1oSuLK1H7Y6uGWVKGouvekhtn6xlKeefoZJd95xXorEli5dSmpq\napMGZtlZSuGPK8n/9n1vKjskmoCJz5K99Ekcy+fjP+5RJNP/duui7HJSvOUr8td/RPDUNyg/tI2M\nl6fgP34GmvCmWQwIguB1C3xvNkmPDUUTGkvgxGeQ6uFQZek7EneBg7Snb0Q0+RDyyLuoL7DMSJ2C\nc1BQEEFB3mo6m83GQw891Cx7Ji9UREGgQ4iJDiHN0y4tt9TFZ3uyySl1oZEEgs0a/I1qpq09xgc7\nMtCpRXJL3RzPKeOadnYifOtemDcgxsaSzSkoKFwT748gwI9H81n0UzJD4hqvCroutLQbeHN0G7Ym\nFlaKgMQHmQi3aqlwy7z6awrfHc6tLCI7kFlCpK+OxwZEEWZtmGJFi07FiI7VtxTOhqwo7E4tZt4P\nJ5EkgfD4oTj5lQULF3H92NH06NGjQcb3TxISEli1ahUmk4lZs2Y1aUeFOy+LirRjBE9ZUrnHLIgi\ntmH3kPfFEpxJhzHENc7n0BxQ3BUU/PAxRZtW43/TbHQxnTG07UHe1+/g+GQB/jfORBPYNBMnxe1C\ndpahsgaAx4VcVoxkrHtdkyLLyCUFSFY7yB7kojy4wAr96l0bLggCdrv97E/8j/8JUvLLGbt0H3q1\nRJcwM7mlbjafyOfBy8P5cEcmPx7LRxC8KelH+kXyQN+Ies2+R3QIwG5SM+7D/dz6ySEEAWRZ4a3R\nbbm6XfP5vpm0KgbE2qod//D3dL464ODVEa0rV/8lTg8PfJHAfZ8f4aNx8Y3aB3028kvdzFp3nIFt\nbNzWIxRJBGVQNOs2t+ODFSv48suvGD16FB06dGiQ98vJyeHrr7/m999/R1EUnnzyySZvdVQHhGO/\n4TFEddU6Dsnsi33sQ9DIqd36oigK7gIH6hp6ueUKJ3Jp4Vn7vME7OSk/8gdBU15FbQ/1/k4lEev/\n3YRSUUbxb19ju/r8i7LIrgrSF92JoNIQ8uhS8la9QOZrDxN01yJUvrWfiCqyTM4nz1F6YCvB9y+h\ndPfPpC++i+AHXkcX2bA1Uo3J+W3c+o8LkuT8cq58bSd39AplYq9QDBoJj6zw47E87v70MC8Oi2XR\ntTF4FAWdJNE60FArp6uaUEkC/WNsHHi4J4n5XieoILOWYEvzKoirCbes8M62NKb0iaB1wKkAZDWI\nvDm6LQNe+4PdacXnrBB2LiTmlWHQiIztHIhOfSoIDbm0CycIIHnfNlatWsXGjRvp0KEDHTp0wM+v\n7hmLPXv2sHv3brZu3cqwYcN49dVX2bFjB08++STjx49vUpEgQZQQRAnZWYYz6SC6Fu0RVGpvkFJ5\n6yScKUcR9UZUtqBmU+/hKcwl+73Z6Fp2wjpgHKLe+x1z5aTj+Hie14HqhsfOeh6VPZSgu14AUaxy\nbaJai23Y3ed9cqIoCp78bBzL5iGodd5UttEH/wlP4lj2LI6Pn8H/ptm12mqQy0rIW/sG5cd2E3zf\nK6jtIWiuHI8gqchZ9iz2Gx6rrNhv7vwXnP/jrPxyPJ9YfwP39gmvDLqSKNCvlS9jOwfy7vZ0Pr6h\nXYO+p82oxlYHvenmQHqBk30ZJfSMrO77LIkCkiiyJ71pg/OPx/KJsunx/YdftigI+BpUzM8OJPWl\nl/jpp5/Yvn07q1atIiwsjJiYGMLDw7HZvNmC0NBQDAZDpZMUeFPXKSkp7N69m/DwcLp3787ixYsr\nxUX69u1LVFQUTzzxBElJSY0mXlRbFNlD7qcv4tP/OkzdB1YeL0vYSe6qF/AddleTm+H8Hcliw2/U\nA2S9MxO5vATbkImgUpGzfAEqqz9+I6ec/ST8KWV8GjUuQWyarI6nKBdtVDyWy8dU7jELgoDt6jsp\nWP8xsrOsdsHZWYposOB/40ycJ/ahsvojqNSYLx0OooinuABn8hEU2YM2ok2zmXjVxH/B+T/OiKwo\n/JZUyKAafJ8FQeCqODtL3trN/ozisxZrHXOUMn9jEhlFFWgkgXsuCaNPy5rFZS5EAswa9CqJ5Hxn\njXvLJrVIZD324RuSWH8DezNKqPDI6P92I1YUBRGBoX/2l/ft27dydbtjxw4OHDjAtm3bAG9HRU7O\nKfGK1q1bV25z9ezZkwkTJpxW7SsyMpJ58+axcOFCnn/+ee64444mS3OLOiO+195F1pvTkXwD0bfq\nRPmxPaQ8PprAOxegj+3arG7egiCgCWlJ8H2vkL74LvJUGsoObEHlF4RtxL2IzdDitjYIgoAmLBZN\naEw1CU/R6IPv0IlQy0mD5GPHOvAmPCWFZLx0L56SAix9RiBqtFj6jqQi5Shpz92GfewjaCPaNMbl\nNBj/quD8l4tWTT+4Mz32b0YUBFra9exOK67x8b1pxYRbdcT6n7kwcGNCLk//kEinEBPdI/zIKXYx\n/etjDImzM6l3KFb9hbVKrgmtSuS6zoGs3ptNuyAj5j+1xSvcMtuTCymu8NC+gRzG6kuXUBNvbEnl\nj5Qiekf5VH7fHSUuNp3IY2hc9aDarVu3KnKG54q/vz8zZ87kgw8+YO7cudx5551NUrktCAL61t3w\nGz2VjEWT8Bk0gdKdGwi88zksl1xz3sdTGwRBQDL7Yht2D5mvTEEuLyVq8gYkQ/VsTVPhyknHnZOG\nrmXHKhrdiruCsoRdaMNjq62CT2dW4l3l1z5M/fV8lcVGwERvSlzUGTF1HUD5iX1kvTkd3yETMfUY\n1Ozv9dKcOXPmNPUg6ovb7ebXX3+lVatWtWoDqUg5QumuH9GEtqo2Qyv65XNEjR7JXPcWigMHDuBw\nOC4os426YFRLzNuQSIdgE5G+OgRBQFEUEvPKmbHuOHdfEk7n0NO3fOWUVDDwjd08NSia23uG0j3C\nh4tb+NC3pS+vbU5BVqBrePO5uZwLsf4G1h7IYf2RXAQEDmWV8P72dN7blsFDl0fSKdTcpDcFrUrE\nJSu8/EsK+eUusktc7Egu5InvThBs1nJ918DzYrCi0Wjo3r07+fn5vPPOO7Rq1arRtbVrQhAENKGt\nUGQPjqVPYuzav9k7VMllxeR9/gqaqHYIooSnKBdddAcEdd10BRoLV2YSOSueQzL6oAlpCXirsHM+\ne4mSnRswdux7Xlb5Kt9ANKEtyVm5CGfSQYq3r8N3yEQslw6rkxNhWloahw4d4rLLLjuv+tr/qpWz\naLSSt+5dUGmwXHx15fHcz1+leMd3BMfVz+u2qatPG5u4ICNzBrbgxmUHmHxxGJe1tJJVXMHc9Se5\nOMqHMWdp6fn+SC4BZjX/97fUuCAItLIbuOfScJbuyGB8tyD0TVjF3FBE2XQsHhbD4p+Tmb/RqxoX\nH2Tkq9s6YNap6l0o11CoJYEbuwXTLdzCA2uOUO5SAIXJl4QxvH0Amn+IvBSVu5m48hDfH8lFUaBH\npIU3R7epoi1+LowcOZKoqCgWLlzYZG5y5Uf+IOeT57AOvYOyvZsoO7oLfatO530ctUGucJK+8A5U\n/iHYR08FSUXaglvJ1xmxDZ1Yr3M6U45QduA3rFdWrQFQFIX8b99HH9sVXXT7Wp9PG9UW6+AJZL83\nB8lkRRfTGcfyBRT//j1hj32I5HN+ui4EUUQX0wW/0VNJfXo8vkPvwNRtQLNfMf/Fv2rlLOqMaEJj\nyF39EqLJisrHn/yv36Zw02cE3bMYTVBUvcbhcrk4ePDg/+zKWRAE2geb6BttZfmuLNbsd7A9uYib\nuwfzQN8INGcR1/hgRwZBZk0Vvey/MGkkZqw7Tp9oX8IbqAe4KREEAZ1a4rJWvkzoEcKEHiEMibej\nU0sIgoCsKKQUOMkvdVFQ5karElE3ktPW6cYnCgKBZg03dguuHGP7YBMqsaq4/7bEAsZ9fIA2AQae\nHBTNLRcFU+z08PIvKbQLMjVYBX1ISAidOnXi7bffJjEx8ZxS6IqiUPzbN7jzsrxtQn+ukBRFwZ2X\nSd7nr6CL7Yqg8m6jlB35A8fHz+A35iF8h9yOyi+ErCVTUQdFoQ4Ib7ICqZqQnWU4PpyLgkLAhCeR\njBZElRptdHvyv34HQaVCG1H3ViG5pIDczxbjzstGFxWPoNYgu5wUfLeUop8/xdRjEKo6BFRBEFAH\nRqGyBZH17kyciYdwpR8n5KG3UPsF1yk4KrJM8bZvvL3Pvv5VXuspKST/67dQBUTUKFSieDyUHd6O\n4/3HMV86DOfxvYh6E5rgFhfEyvlfFZwFQUDlF4wmKArHx89QnvAH7rxMAu9cgPbP9Et9yM7O/p8O\nzn8RZNEwqmMAN3YPZnzXILqEmWtl4eh0y7z5W5rXEvMf0pxfHXAgyzChR0ilwcT/KuUuD5/tyebJ\n70/y68kCvjqQw7akIuKDjPjom1cSq6zCw0NfHWV4+wCmXhZJtJ+eEB8tvSIt5Ja6mP9jEhMuqtuN\n9kxYrVb69OnDF198wQ8//ECvXr3QaOqXpnVlJZGzbB6iyeZNqwoCruwUcj58GkGlxhDfG0GtwVOc\nT/b7c7BcNsqb6hQE1MEtUIfGkP/NO6gDwlH91QfcDFDcFSiA7+BbkQyntpEkix/aFvEozjI0oa3q\nfF7J7IshrheFmz7D5UhBF92Rwp8/o2zvL9hvnFmv3mBBEFAHRVG671eKt63Dd+gdGOPrkZl0u8j9\n8nXy177lnTAFRiEIAp7ifHJXv0TeF0swtLu4xoVV2eHt5H7+CtYrxuM7+DY0IdHkrHweFAVtZNta\nT7yaKjj/b98Na0AQRfRxPTG0v4SSbeswdOhT7xXzvw1BEBBFAZUoIIm1t1AbEOtLbqmLT3Zm4v6b\nY1NCdilz15+kX4wvBvX//lfxxU0pvPxLMs8OacnCq2N44doYVCLc8NF+DmSWNPXwqnA8p4yCMjcT\negRX6YfWqSXGdwtme3IhfzSwCYnRaGTevHlEREQwffr0epnJCIKAsXM/Am6fR96Xr1F2eAdyRTmO\nD59GFRiBfdyjlf3Bot6EbeQDmHsNrfr6jn0IuHUu6qAWDXZtDYGoM2LqPrDaKlEQBLQRbTF2u7Le\n51YHRmK/fhplh7aTvngy+d+8g23kFLSR9atoVjxu8j57CXdGIv43zyF/3buUJfxR9xOp1Fj6jMSV\nfpLspXMp2vIViuwh74vXyf/uffTxF6NrXV0m2OVII/udWVguGYa599UIkoQutguBk54j/7sPKPx1\nTWURcHOleU3XzwNyeQn5696jdPdPBNw+j4KNy5EsNkxd+lemuv7j3FEUhRO55ZXOSUtGtOHVX1PY\nkVJEa38DOSUu1h3O4fYeIVzXObDZrE4ammKnm/UJecz85hj7Mkqx6VX0WPw7OpXA0Hg7D10eiVaV\nyQ9HcmkTUH/xloYmt8yNSSvVaEJi1auQFVi+M5Nu/yjkyyt1kZRfDngr/WPs+jorok2aNImffvqp\n3oIlgiiia9kR+9iHyX5/DpLZhjokGts1kxA1p1LxgqRC36pj9dcLQrOdsJ/ud9IQvx+VbxC6mC4U\nbvwEQ8c+aAIjam2EoXg83h5jvQmlopz8b96l7MjvhM5ajqg3Ihl9yHjlfvxvmIGx8+VVqrjPhCAI\nGNtfTNjjK8l4eQqZS6ZSvONbSrZ9i6nHIAInPlujKYbKFoj/hCfRt+le+dkIgog2LIbQ6R+guJzN\n/p7zrwrOisdN/rr3KD++l5CH3kYdEIE6MIKs92bjKXDgc/mY/wJ0A1Du8rB6bzbvbksnxEeLIEBK\nvpP/a+O1Myx1eTDpJBZe3YpeUf/bBgMf7MhgQ0Iebo9CuyADM69oQV6Zi/e3Z1BY7mbyqsN0D7fw\n7vZ0brkoBJO2eexxxtj1FDo9JOaWE/UPE5LfU4rwM6iYeUVU5TFZUdiVWsT8DUkoKJg0EmmFFXQP\nNzPp4jCCzJo63Qz79u2Lv78/CxcuxOFwMGLEiDpfgzowAkVRcCYewNRzMKL2Px+A06EoCgUbllGR\neJDAifMo/HEFed+8g++QiYias9eCuBxp5K97B9s1k6lIO0b58T343zwHUWck99MXMfceiv/Ncyj8\ncSXaiDaoA8LrND5DXE9sw+8l+73ZFG9ajTa6I7YRUxC0NXuXC6KEoe1FNT6mbkbCMmfiXxWcS/f+\nQumeTQTc+lTlzFgf15OQqW+S+dqDaCPj0Md2adpBNjJOt8yJnDKKKzxoVQLRfgaMDdg645EV3t2W\nzvs70nlleGta+OkRgKOOMu5dfZgpfSIY3anuhg3nwl9tX44SF6IAEb467Mbz03by07F8rm3nz+p9\n2Yxo78/w9v6IooBFq+Ln4/lcFOHDy7+kkFPqwi3LQM1/i/RCJ6kFXpercKuWQHPjypkGmDV0DTNz\n/Uf7+PD6eKLt3sCWnFfOzG+OcXP3YCy6U7eP3WnF3P3ZEcZ3C2JUxwAkQaDcJTPr2+NM++oob4xu\ni1ZVt5VKXFxcpWBJYmJinQRL5IpyHB8/i7nHIAwd+pD1zkxUfiGYOl9epzH8G1AUhYLvP6To508J\nuGM+2sg2aMJiyHxjGggSfsPuOus5VD5+CCoVWe/MJHDiswTcOhdRbybj5fuQzL6oA8LRRsWhjWqH\nZKx726Rc4aRo8xfeVLTGgCsnldK9P6MJjgKheUxoG5p/VUGYyj8cY+d+qANOPfcvL1FT9/9D5RdU\n63TL3zmfBWGKopBX5uaYo4y0QieOEhdqSThrG5KiKKQXVvD4dyd4ZkMiXx1wsHJPNtuTCukYbMJq\nUDVImqeo3MPrW1J5bEAUPSJ90Ksl9GqJEIsGH52Krw46GNbeW3V5PtJKBWVuPvojkwe+OMqafdms\n3utg7YEcWvnpCTJrkGpI2zYUWUVOVu7OwmZUUVTuptwt0yfaF7tRQ4Vb5oVNycy5Mop5G5OYcUUU\nA2KrqrApikKh08Onu7O4feUhvjrg4Iv9OSzbmUWIRUOUTV9j2rkhEASBvtFWUvKdLPgpmf3pxfx0\nNI+Xfk2hb0tfnhocXeXvt2ZfNoEmDff3jcCkVaFXS5h1KrqGWfh8XzYDYn0xaev+2zIajfTq1Ysd\nO3awbt06OnbseMYArSgKnsIcsl5/BNFoxW/kFNQBEahsQeSuWoQ6LBaVLbDRfYsvJMoObSN39csE\nTV6ILrKt955osKCLbk/uZ4tR2ULQBJ95/11QqdG16kTpHz9QvON7dK06k7P8WTwlBQTe9jSS0St4\nI+mMdbrHKoqCOzeDtHk3U5F0EGOXfoRMe89baLblS1S2YDShLet1364t//U5nwdESUK01twSUJ/Z\nXFOwPbmQF35KBry+vjmlLgTg/r7hdA+3nDbgZRRVMPqDvQxua+f7OzoTaNZQ5HTzyc5MRn+wj49v\niKdN4Ln3a+eWuSh2eqrJVAqCQKdQM/M3JrEztYguYY3/eXtkhYe/OkqR08OH18fRJsCAW1bYeDSf\naWuPcc8lYYzpHNho7+90K0iigKKARiXSPdzCMz8k8uT/tUABLFoVn+zKItis4dJoK/9oMabCo7D4\n52SOZJey9Po4OgSbEASBTcfzWfRTEk63zMiOjTd+jUpk9sBoBscVcjLXu4/8f2396BnpU+17tjWx\n8M8Vc9VzBJrUBJo13Ls6gb4tvVsY0X56rmxtq/X+utFoZOrUqaxatYrp06czc+bMMyqKFW5ajTog\nAtu1kyuLp4wdL0MQRHKWzyfkwbcumN/7+UDXoj0hD76J2j+0ynFNaAwhU99EMtdOYlcyWAiYOI+c\nlYtInXcjxi79Cb7vlSqV5XVG9lDw/YeUH9+Ffewj+FxxA6LeRNDk58h+/3Gy352NtkU8unq0kDV3\n/lXB+UInMbeM4e/uZc7AFozsGIBWJeJ0y3y6O4ur3trDL3d3qeKG9Hd+PpaPJAo8eJm3L7nE6eaT\nnVmUuWRkRWHlnixmXnHu1al/reQ8NRRCemSFkgoPoT7nx2HqWE4Z3xzK4bf7ulXueaokGNjGRlax\nkze3pjKyY0CjrZ7DrFp0KpEYu4GZJ0/wwjUxfHkgh+6LdyAJAjklLlIKyhnYxsal0dZqAS+jqILd\nacU8O6Qlreyn9kv7tLSSnF/O0t8zGzU4g9ewo2ekDz3PYtahEr093P+8hpIKmdxSF98eziXUosGj\neCccYzoHMq1fZJ3UyEaOHIm/vz9PPPHEGQVLfPqNRVBrqlhCCpKEoWNftNHtEWvoiT0fuAscSGZb\ntR5bxeNGLitBMjWNIYqoM9RYVAWgrqMHsqDW4ko/gVxahCsrCVF9jtoFsoynOJ+A2572amT/+TfV\nhLQi8PZ5pC24Fbkw/9zeo5nyX27nAmLNPgedQs3c1tOrRa1XS1j1am7tGcrFUT58ud9RY3uArChs\nOp7PiPbevd6fjuVx+as7+WxvFjtTi5BEeHdbOhuP5uKRz629wKJTYdWrOJhZUmUsfxlo9I6yNPp+\n6V9sSyqgW5iZYIu2qjWeIDC8QwB7MkrYkJDXaO8vCAJdw828uz2drqEmZnxzgn6tfHmgTzhqUaBr\nmAmtSmRcl8Aae7zTC50Y1CL+/9gfFwWB3lE+bEsqZFcDtzPVl+4RFracLKTc5aly/LXNqXxzKJc9\nUy/i+WtjWTysNT/e1YVtSQW8uCkZd02zuDPQt29fZs2axQcffMBrr71W7XFvStZczasZvFXcKh97\nnQQoGgpFlsl45X7y172H7HJWHpfLislZ9QKOTxYgl5ee93E1FIqi4C7MJfOV+xHUWiLnr0Nl9Sd1\n4W2487Pr3bYkqDX43/I41v7XV51sCQJq/zDCn/4SQ7teDXUZzYr/gvMFgkdWWJ+Qy9hONa+UxnYO\n5OtDORQ6PTU+btGpcJS62J9ZwvwNidzXJ5wvb+vI+9fHM7FXKBpJYOGPyThKKs5pnCaNxJWtbby0\nKYUVu7JIzCsjKa+cZX9k8umeLIa1O3/FYCaNRH6ZG7mGG0NOiQudJOJraNzk0eTeYQxv749BK3Ey\nt4wxS/fx9A+J+BpUtPDT88H1cfSPsdX4Wo0k4JEVPDWMv8jpwUcnNZv+8D7RVg5nl/LU+pMczioh\nJb+cLScLeG9HOuO6BBL0NzWxYIuWxwdGsye9uLLVri5ERkby4osvcvLkSZ588klKSppXj3hNCKKI\nfdx0SvdvpuD7j1BkGU9RHo7l83EmH8b3qttOu3q9EJBLCslduQjRYifwzgWo/cPwv3E2muAWOJY9\niycvq97nFs+wnyyqmoeeeGPwX1r7AkEUINCsIfHPHtJ/kpxXRohFW2PltSgIXNnaxs3LDmDVqbgo\nwsKYzgGoRJEKt8wbW9KYelkEvyUWsvlEAcM61D+ASqLAyI4BtAkwcPuKQ6QWeoN9qI+GN0e3pf1Z\nbCU/3ZPFF/uzkWVoaddz76Xh2Az1a2/r09KXKWsS+C2xoErLlqIovLEljf6xvnQJO4f9sFpg1qm4\nuXswQ+PtuDwKbllBELxpYJNWwqSRTlsnEG7V4fQoHHWUcVHEqc9AVhS+O5xD/xgbsafZxnB5ZJbv\nzGT9kVxkBdoFmbjrktB6FWXVhtYBBl4dEcuT352kzyt/IP4pVRpi0fLYgCjU/9iMthv6IxqcAAAg\nAElEQVQ1nMgp51hOGd3q8ff9S7BkyZIlTJ8+nalTpzaJs1Vd0Ea0wT5uOhkvTcHlSEHxeFDKSgia\n/Py57cs2A+TSAiRff6z/d0vltUhGC/brplGw/iPc/8/eeYZHVXVt+D5najIzKZNMeoUESAKh9w6C\n0gQEVEQQscEriuBrwU9soCIK2ABF7IANRWwoiAii0nsLoaX3nkmmnvP9GAiEUAKk8cJ9XfmRyZlz\n9kxmztp77bWepzAHpbF2t2D+17gRnK8RBEFgWHMT035I5P6OgZj06oobYE6JjSVbMpgzJOqC1bud\nwj3oGunJa38k8X/9IkjKt1BsdbJgUyo+7ipGxftxINPMHZ8fwPb61a1uVQqR1iEebHmsHfZTaUuV\nQrzo3m5+mZ15fyaz4XghtzQ14qFVsiW5mAe+PsycwY1p7Hv5qwqju4rHe4Yx+bsjPHNTBK2C9Dgk\nme/25fDr4TyW3NGsTkQ/RFHApL/8Gb6PTsWQWB/u/+oQT/cNp0OYBwLw+5ECVu3P5Z3bmpz3eXlm\nG3PWJ7M9pZibm/qgVghsOlnEhC+LmT2ocUVbVE3i0uvW8O6Ipsy9NQoZsDtlbl68m0KLo4q/tc0p\nISPjq7s6XYFJkyaxevVqZs6cycSJE2vU2rKmEQQRTVBj/Ce9TvJTA9GExxD05IfXfGAGUPmF4XPb\no1UeF9VavAfeVw8juva5EZyvIXo29uKmaCOPrjzC7a388derySyx8fXuLPpEe1dUw54PrUrBJ6Nj\nmbgigY+3ZrA9pRinBLEB7swfGo1WJWJxSNzfMbDGxqsQRaojly3LMgs3pbIrrYTPRscSYXTZUo63\nOHhnUyojPt3P1intLmmwcT4mdwsh1l/H5zsyWbU/B0l2Bb0V41vQyOf8AgYNBVFwOUg18nXng3/T\nWH0or2LVvWhkU5qfxxtalmVeX5/M0dxyPr4zllAv1377+A525m9IYcJXh/ntoVZoruC9rC6aU219\nWhW0Cjbw66E8Yvx0FZMzSZJZm5BP+1AP/K5g0nIuAwYMIDw8nLlz5zJy5EgGDBhw1eesLRzFeRSv\nW457XGcErTulm3/B65bx9bIPfoOGzY3gfA2h1yiZMySKVftz+GRrOlaHjEYpMKZNALc2N12y8lWl\nELmjlR9bkopYl1iAiMCRnDI6hHkQ6a3lWG45C0acfzVWmxSUO9hwvJD5w6KJPCtgGrRKHu4Wwotr\nTrAnvZT2YZff/iIIAr2jvWkdYsBil0AAw6l08rWAKAr0aORFiwAd5XYJAHe1Ak+tgg3HCnh29Qks\nDgkBmNYzlH5NjPx6OJ+P72xG2FntbF5uKkbG+/HaH0l0fGsbSlFkQDMj0/tG1Kp/830dAnnyp6Pk\nldm5s5U/Tlnmk20Z7E4r5fVbo3CroT3z2NhYnnvuORYtWkRSUhJjx45tcFauUnkp+d++hbO0kIBH\n3sJZkk/mwv8iWUoxDpt8I0DXEI7CHEq3/IJnv7FV3lPzno0IKjXuV2gPXJfcCM4NAFmWKSx3sPjf\nNDYeL0QQwN/g2qsL99ZWSgfr1AruahPAXW0uX4JOlmX2ZZRSanPiphR5uFswheVOBi/Zi9FNydh2\nAfVi25hyah899jx91h4aBTanzLwNyXwxtvkVnV8UhCvet24oeLurON1tanNILNiUyvyNKTzRO4xY\nfx1ZJTZmrT3Jt3uzsTslWgadSZVKsszGY4VM/i4BuyQT569nfPtAZv9xkge/PszrQ6IIrKX2trah\nHnwyOpZ7vzzE8l1ZALQM1PPd+Bb4XmLVbHNKlNlcExKFyEX358FVKDZjxgzmzZvHrFmzePbZZ2sk\nQMuSBIIAkrOS2IUsyyDL5/1blXPIMgW/fIg9LwP/B2ej9PBB6elL4JR3SJ9zH6LeC6+bxjQoi8pr\nFdlho+jPr3EU5mAc9jCCWguyRPnBLWQtfgq/e1+q7yFWixvBuZ6RZZk96aW88NsJwr21TO4Wgkoh\nsie9hKmrEnnglB9wTZBUYGHFnmy+vacFR3NdPcAAd7TyJ6PYStdIr0sqjdUGoV5alKLA/oxS4oMq\n778VlLuqeR/oFFTn42qonCywsOZIPisnxBN/Vmq7baiBR1cmcrLAwu70M0IvRRYHSzan82TvcJ74\n6SgPdg6iZ2NvOoZ7MP3no3yzN5tHu1fWOi63O8kvsyPJ4K4SMbqrrljRLdRLy5oHW1VUnStOuZtd\njOQCC+9uSiGl0IpaIWJzStzfKYgejbwu6n+t0+mYMWMGn332GVOmTLmkYEl1KNn0PUq/UMp2/I5H\nr1EVtozWkwewphxB4WHEnn7sVHr6wt8fpTEQvx4jUHr4VDym9g8n6IkPsKUkgtMJN4LzVaPyDSb4\niQ/JWTqL/JXvYBw2mbJDWyj67RP8H5iNrtW1Ye17TQdntVpNhw4dWLduHR07dqzv4VwxWSU2ii0O\nXh3UuCLF2KuxFwNjfHn6p6PoNQp6RVVPpedi6NUKNEqRAA81bUIMDIz1cU38gd3ppcxae4L2oQaC\nPOt29eztpuTlgY0Y+tE+3h/VlJuanFGPSswpQylSo/rf1zwyGDRKQs5Z7UYY3Xiidxh70ku554tD\nLB7V1CUeIoOMayWqEAW8TnlHGzQKpveNYMKXh2gXYqBLpKtmwSHJfLotgwV/p2F1SKgVIne39eep\nPuFXHKBFUUCkes8ttjiY/ssxUgosvDKwMX4GNUXlDhb+ncqn2zL4+M7YSwrHjBs3jvDwcKZPn85D\nDz10VdK6qsBI8r56HXVoM7KX/B+eA+5F37YfBT9/ADJYUw7j1uTihWiCIODRa+R5ZUNV/md8im9Q\nMyiNAfje+RQ5S2eR+d4T2FIS8L3zSdzju9X30KrNNR2cRVFEr9dTVFRU30O5YmTgSE4Z/ZoaK+39\nKRUiMf46WocYeHdTKj0ae111ZXFmiQ21UkSvduloG85qq/HXq8k128kptdd5cBYEgTYhHrw3silP\n/3SMEfHFxAXoSCm0smRLOvNujaZ96A25xdNYHE4UIlUq80VBIMZfh16joFOYB498d4Rx7QLw0CrZ\nnVbChmMFvDKgES1OrbYFQSDQQ4PVKfPAN4c58GQn7A6JKauOsC/DzCd3xtA8UM+JvHKmrkpk4/FC\nlo6Jq/Utgn+TikgttLDmoVaV7Cbf8Inmpvd28dfxAnpFnb83/Gx69uxJREQEL730EsnJyYwdO/aK\nxuMW3RrjbVPIeHMS+o6DyFsxn+L1X7sUvzy80YbH4XfvS5dMSV9Iz/tGUK4dlD5B6DsMIOfTF3GL\n6Yh7i25wDWmqXzsj/R/FKcnklNqI8D5/QDRolPyemI/NIV31tWL83VGJAkdzqyoRFVrsRPm6E3qB\ncdQFNzfzYfGoZpRYnfyeWMCJ/HLeHtaER7qHXjINej3ho1NTZpMotlQV8NidVoKvu4pFI5vyxq3R\nJBVY2ZpSgk6j4OWBjRjfIajSJC+5wILdKbFuYmvAFRh/OZTH0rtiaRvqgUYp0sxfx7IxcRSUOfh+\nX06tvjaHJLM1qZghsb5VfKB9dCr6RHmz8O+0aivZnRYsOXDgAPPmzbtiwRL32I4ETXsfW+oRZJuV\nsr1/odB7oTaFYrr3RQTFjcxOQ8O8ZwMlf32H75hnAJn8799Ftp1fJ6IhciM41zNKUaBFoJ71R6vK\nSMqyzN70Uh7rHlrR+lJYZmdPegl70kvIKrFWec7FUIgirYINzNuQQrHFXvF4VomVl9acoFWQvpIN\nYH3QNtTAK4Ma8/awJrxxazQ9LtIedr1i0qnwN6j47w9HyS87839MKbTw5sYURrY0oVSI9Gzsxeu3\nRvHO8CZM7hbCB5vTOZhZWnF8qdXB/I3JNPZxw9/gKs76enc2Y9oEEG6s3GZm1Kl4sk8Y3+3LoeQ8\nk4KaQpJk8ssdlRTFzsZXp2JLcvFlycye3od2c3Nj1qxZJCUlXdHYtE3aonA3YE87ioyM9dhuNI3j\nEbUNqyr8Bq6q7LyvXsdrwAQ8etyGafwL2HPTyPv6DVeB3zVAvQRnSZJwOBwX1Ft1Op3Y7fZKP9I1\n8oZeLqfdmnaklvDZ9gyKLQ6sDgmz1cl3+3LYnlrMpC7B2JwyaxPyaP/mdm79cC+3frSXTm/tYMWe\nLMrt55fsPB/TeobhqVXQa+Eunlt9jOk/H6XrOzuIC9DzSPeQWrMgrC6CICCeKhgS68hW8lpDrRSZ\nNaAxOrVIn4U7eebno8xYfYyhH+6lXYhLex3OvJcKUWB0a39ui/dj8JI9PPb9EZ7/9TjDP95HTqmd\nOUOiEAQBWZbJNtsIukBgDPXUkl9mp+QCErE19dpaBen5IzEfxzkB2O6U2JpczNN9wy+7512n0zFp\n0iTatm3LzJkzOXjwYLWfK8syzrISst57AnthDu6teiEqVeg7D6Fw9ceUJ2y7Zm741wPWlASyP5qB\n7+in0LXqhSAqUBkDMd01nbKDmyn87dP6HmK1qPNlUklJCWvXrsVisTB8+HDc3KoKQfz555/s3Lmz\n4neVSkXfvn1p0aJFXQ61zojydePt4U2YvzGFXw7lEeihodTqIM9sZ/7QaEwGNd/vy2HJlnTmDG7M\ngBgfFKLAhmOFvLsplcJyR8UN+VL46FTMGxrNyv25ZBS7Vt5vDmvCwGY+N1LH1xDe7ioW3x7Dqv05\nnCxwpepeuDmSW5r5nDdwqRQi03qG0Tncg3+TigG4q00At7Uw4XmqQOy0Ct3bf6UwoWNgpcp9pyTz\n9qYUBsX6EFTLrmJdIjz5fHsGi/5OZXQbf3x1aspsTj7amkGO2c7w5qYrPvfIkSOJiIi4LMESqbSQ\n3K/n4ijKQWUMQOnth/etE8lf+Q4qUxg5n7yA8bZH0bfrfyO93QBQ+UcQ+NhCtJFxlR5XGgMIenzx\nNVMRX6fBOS0tjeeeew6VSkVJSQkDBgw4b3Bet24dWVlZ3HHHHQAoFAqMxksXgFyrCIJA10gvmpjc\n2ZdRis0poxCgicm1B2x3yqw9ks+j3UO5pdmZNoy+0d44JJmPtqRXOziDSy1sdC36GF8PSLLMrtQS\nDmeXgQBNfN1pG2qoEznQ0yhEl7vW5dA5wquSzvi5DGjmw8trT/LSmhM82Tscb3cVZquDBX+n8Udi\nAU/1qX396kY+brw9vCmvrjvJ8p1ZeGgVWOwSIV4a3hwWXZGCv1LatWvHc889x9y5c0lKSmLixIkX\nPb78yA6X9GZIU6TyEowjH0NhMCKqtRT8vATvwQ9StOYztI1aXLbFYn1yIQtLAEdxPkqPa/OeK6o1\nVQLzaVS+1b9P1jd1GpzLysp49NFHsdvtvPXWWxc8rrCwkGbNmtGvXz9kWUa8iHKOLMs4nc5KhR6C\nIODm5nbNpURNejV9zuNQZHU4SS6wEuNXWRPZlRLXk1FiY3NS0SU9d29QM5RYHXy2LZNF/6QS4e2G\nQnT1Hj/QKYj7OgZVq1dclmUsDok9aSWknzIHiTa50dSkuyKZ0prC213F5int+M+3CdyyeA8BBhU5\nZjvebkp2P97hksIhNYFCFIgN0PHBHTHsP+VcpVIItA4yoKsh447w8HBeffVV5s2bx/Tp0y8qWKJr\n3Qdd694VgiOnq7LdmrZDG9UKRAX6ToMQVdeOQ5LsdJAx7yHc4jpjHOoS6hAEAcluo/jPryne8A3B\nz3yOoFAhlZei8PStdD+VZRlncb7LC1rTsGVwLxe73Y7Ndsadz2KxIMvyFdteXil1Gpyjo6MB2L59\n+0WPM5vNaLVa7HY7DocDd/cLC/WXlZVx9OjRSt6uGo2GiRMnolRe051iFUiyjCTL5007KwUBhSBQ\ncFZh0A1ql4WbUnnzrxS+G9+iYkK08Vghk75NABluiXFlNyK8tSgvIJjhlGS+2Z3NlO+PYHRX4ZRl\nSixOPr8rlltifOp0BX4uBq2St4c34Y/EAgrKHeg1In2ivOskMJ+NVinSrhZb6E4Xii1atOiigiUX\nk9U8rQomXEOBGVzj9n9oDmlzJqAOaYKh02BkoGzvX+R99QaBjy1E4e5BydbfKPrtEwIeW4jScEZr\nQbKWk7VwGp79x6Jve1P9vZBaYPfu3WzcuLHi94yMDIA6r3tqkNHLarWya9cuHnnkEUpLS+nXrx93\n3HHHeVPgp4vLSkvPVKE6HLVXTXohyspqzyhdrRDx0anIM9uryGumFFrRaUS6N7p6kZL6pNzuxOF0\n2Sm6qRSXFJmoL8w2V5vXvFujaR3sUVFI1SrYQOtgAy+vS2LpjkxsTpkWQXreGBJ1Xkeqnw7m8uGW\ndN65rQktgwzIMqw/WsAr605i0CroFulVr5kfTzclA2J8cMoyoiDgVo+r+dpm0qRJbNiwgZkzZzJ2\n7NirEiy5llD5h2O8dRLF675EGxEHCBT++jHGkY+hbdIGALcmbSj6YzlFaz7DOHQSglKNZCkj74vX\nkJ12tI3+9+qA7HZ7pXhSXl6OVqv93145VxeFQoEoitx7770UFBTw2muvoVKpGD16dJUUt8FgIC4u\njueff76eRuviStszqoNGKRIfqOPz7Zk0MbmjVbm0lspsEt/vz6GZn0t44lrE7pT49XAe0344SlaJ\nK5V0e0sT84c2Qa+5uJZyfXAo04zVIXFna/+KsTklmXc2pbAnvYRSq5PPxsQSaNDw0IrD3Pn5fpbc\nHlPJ0EOWXbaV03qFcWvcmXRhfJCeEE8Nq/bn0incs4oHcl0iCkKtGmI0NM4WLMnNzWXEiBF1dm1n\nWQlFaz5D33Eg6sDIisdlScK8ez1SWQke3YbV+HUFhRKPniNxmotJm30vot4Lffv+Lo1vpUtoRull\nwv+B2WS+8yhKnyAMnQaS//0iLCf2E/LM54jamrcfBbAmJ5D37XwCJs1F0LhXfEdkh538nxajCY5G\n375/rVy7S5cudOnSpeL3bdu2sXLlyjrPxDbI6fCyZctYsmQJnTp1YsCAAYwfP56dO3fW6ur0csjJ\nyeHQoUMcOnSI1atXV6RAVq9eXfF4Tk7NiTWIAoxuHUCpzcEdn+1nwaZUFv2Txv1fHyK5wMJD16ju\ntCzLvLE+mUX/pDF3SBT7n+jAP4+0xeiuZtCSPexOK6nvIVYhr8yOj05ZadJQZHHw94kiltwRg8Uh\n8cP+PAxaJcvGxBHjr2PDsco97AVldtKLrMQH6qtMPpr5u7M/00xpLbYr3eD8hIeHM3v2bLZt23ZV\ngiWXi6BSg6ggd+nL2NKPA6cC8/a1FP78IUqfmrNxrYKowL1FN2TZiWwrxy2mI5xTca40BmAa/wKF\naz4ja8kzWFMOE/jIW7UWmAEU3n4ICiXZH83AkZ8JuCYx+T8somz3nxX65v/LNLiVs81mY/369cTE\nxBAWFga4buIKRf2uog4dOsS2bdvYtm0beXl5BAcHV+yFR0VFMWDAADZv3szmzZspKysjLS0NHx8f\n2rdvT/v27YmJibniawuCQKi3lnlDm/DPiUJO5LtaZ+5q40+PRt54aK/NFU5KoYU3NiSz4T9tiA3Q\nVeyzvjSgEbPXneSDzeksGGFoUKvnuAAdmcV2UgosFWpq648W4KdXUWp1EuqpYWJn12RJEARaBxt4\ncc1Jxnc4M4Eqs0vYJRndebIdKlHkZH45FrsTuLadtK5FTCYTM2bM4L333mPWrFlMmzYNk+nKW7eq\ng6jS4HXzPRRrdWS8PRn/B2ZjOb6Xwl8+wu/BV3FrenHd7qvBnnGC3GWv4D3wAQS1hvxv5uN330zU\nQY0rjhEEAXVAJKK7J+bta/HoORLFWeYdtYHS4I3/g3PIX/kOuUtnETD5LQp+fA97VjIBk99C5Xt5\nCxLJbkVUVW0BlB12EBUN0q6zToNzamoqCQkJJCYmUlBQwIYNG/Dz80OhULBw4UI++eQTlEolX3zx\nBU6nk+nTp1NUVMTSpUu5//77L1oYVhuYzWZ+/fVXVq9ejVarJT4+nrFjx1YUtl2KvXv3kpCQwIIF\nC7BYLAwYMIBbbrnlim3sdGoF/ZrW7peiLvnlUD6tg/Q0P8tZCVyFQI92C6XXop2cyLfQyKfhVIOG\neGlpFaxn3PIDfD4mDj+DmvQiKwXlDub+mcy4dgHoz1JZUwgCGecouYV4aTG6KTmSXYZJ5wrAjlMy\nroeyzMQH6tGoFMiy3KAmJtcLOp2Oxx9/nBUrVjB9+nSmTZtGbGxsrV5T1Ljh1X8ssiyROusuRK07\nwTO+RBPU6KrPLTsdyJITQak+kx6WZSRzMZnvPYGuZU+8+o0BQUAqLyVtzv2E/N/nKH2DXRXcVgv5\n3y8Eh4XQV34ie/FTFP35tSv9fRGbzKtF1LrjPexhcj6awclpfVDoPAmcuuiyA3PptrUUrvmEgEfe\nQWHwrqgTkcpLyXx3Kl433YWuTZ9aehVXTp0G55SUFNatW4ckSTRv3pzNmzdjMpno0qULjRo1qmib\nmjNnDh9//DHvvPMOCoWCCRMmMHTo0Dq9Ua1evZpvv/2W4OBgnn76aXx8Lj8oxsfHEx8fz6hRo0hN\nTWXFihWsXr2acePG0aNHj1oY9bVFmd2JTn2BICS4PK4Lyu1AwwnOAK8NjmLehmQeWnGYKB93zDYn\n6xILmNwthP/rF1Hp2LRil7PSuXSN9OKjrenoNQq83JR8sjWDD7emU1DuID5Qz93LDjCleyg9G3tV\n0Zi+Qd0wcuRITCYTc+fOZdy4cbVeKCZLEgqdJ0pvfxRevghSzWxtWE7sp2jdcnxGTkVpDHB912SJ\nzPefxFmYg65lz4o9Zq9bxoPkJPfrufjf/yoyMgU/L8GWluiq4PY0YRr/AjmfvoRUbsb7lntqV75U\nllEYAxE1OpS+QSBe/qTVvWV3zHs3krvsVXzHPI3CYMSeeZKcz2ehDmqEtlmH2hv/VSDIdV2CVk0k\nScJsNiOK4kVXmn/99Rc//fQTr732Wo1cNykpiTfeeAOj0cigQYOqvUquLomJifz8889YrVYmTZp0\n1V6z1zKJOWV0eXs7O6d1qGK4sWBTKjtTS3j/9mb1Lil6PhySzPaUYnLNdpySzNe7s1CJIvOHRePt\nrsIhyXyyNZ3lO7OYMySqSktQrtnGsh2ZLN+ZhQzszzQT4qnmqT4R9I32Zm9GKe/+lcpjPUMZ0Mzn\nxgq6HklKSmLu3LnExsZeUrDkSpElieKN31H468f43P44trRESv5ehf+Dr111RbSzvJT8b+bjLC3A\nb8JMRK0Oy7G9pL9xP96DHsSz72hEtzP3WNnpwJ6VhCogEsvRXeR/9w6mcc+hCoysWHXa0o+T++Vr\nGAc/WKtp97zv3saWfBifO56gaO3SSq/hcnCWFpL33ds4C7IxjphC3ldvoAmPxXvwA5fcOz9dEPb8\n88+j0dSuOt7ZNNjgXF1qMjhv376dRYsWMWjQIHr37l0Do7sw69ev55dffrloyuz0v0aGCifc/7Wb\n9O2f7sPikJg3NJpgT82pQOfq//12fAv6XyNp/BKLg+d/O87ynVmEG7UUlTuQZPhhQjzN/M+68cky\np79wAnAyv5yRn+5n5i2N6BrpiafbmX3mr3Zl8W9SEbMHR6H9H25luhgN5TtgNpuZOXMmOp2OadOm\nXfHW1PmQJYmSf34k/9u3CHrqI9QBEQAUbVhB0W+fEvDoOxWPXSnO8lJyPnkBZ0EWPmOeIfv9J/C6\n+V48el66Kl2WpPPuyZ7+39TG/0N2Osj77m3K920i4JG3UZlCKr2GwGnvX3ZBmmS3kjF3ImX7N+HZ\nfxy+dz6JqL50sK2v4NzgCsLqi9WrV/PNN98wceLEGl8tn4/evXvj4+PDG2+8wahRo6po/DokmR0p\nxexOK8Uhyeg1CvpEe1fpc77W+fSuWN7amMLjqxIx6dWUWp1Isswfk9rQPuza8XA2aJW8PiSaIXEm\nrA4JAegc7omH25mvmMXu5O8TRS7JT8BHp8TmkGns60b/psYqgiUBHmpW7Mnmid7hBNeynnVDxCnJ\nHMw0szmpCJtTRqsS6NHIm2hT3daegGsfevbs2SxatIjp06fz+OOP11jWS7KYsSYdwO/BVysFYY9u\nw5AtZZQnbL/q4Kxw02Ma+yzpbzxA2qzReN18L4ZuQ6v13AsVS11NUJYlCXvmCUS9F8pzisucZSWY\nd/+J5fA2/Ce+USGJevo15Hw+i7L9m9C3q34rlSzLOHLTkexWtE3bIZUW4iwtQDQGXPFrqG1uBGfg\n008/Zf/+/UydOpWQkLrTxo2Pj2fq1Km8//77lJaWMmrUKACcksTif9P5fn8OncM98XJTsi3FzDd7\nsvi/myLpHPG/I9PpplLwWI8wBsWWYbY5EYAIoxZ/Q9Vg5JBklu7IrGixCjComdwtBH0NSTpeLQpR\noHfU+cVgHE6J19cnszmpiL7RRmRkfthfyMEsM6HeWqwOGeV5tpabmNyv21Xz9/uyWbw5nXahHvjq\nVCTmWli6I4tHu4cwNM5UL0YtkyZNYvXq1cycOZOJEyfSrt3Vp3RFrQ7j8EcQNefI8yqUePS+/arP\nfxp7djLOkny0Ua2xZx5HtltrtaDrosgy5l3rsaUfxW/CrErjKPz1YyRLGQGPvoPS07fS0xR6L0zj\nX6iQUK0ujvxMcpfPRhffHUO3YRT8/AE5n76I/0NzULgbauQl1TQN465Wj2zYsKFCHaiuq8EBQkJC\neOyxx3jllVfw8/OjZ8+erE0o4LV1SfzyQEviTlUyS7LMx1szuGXxbo7/Xxd8dPXbZvPFjkw2J7vc\njdqEGBjXLuCKZ9JalUiLcyq2z6XU6uC5X0+wfGcm03qGohJFvtyTxa+H81h2dxzBng07o7B0Rxa/\nH8ln6Zi4iv11SZJ59Y8kPtqazv6sUjqGVZ50bUsu5qYm3ni5Ncyvqd0p8c2ebLaccrnqE+3F4FhT\njai7pRVamLwykeVj4ugVdUYtbf3RfMYuO0Sol7ZWpT0vxoABAwgPD2fu3LkMHDjwqgVLBFG8YIAQ\n1TXzubZlHCdr8VN4D3oAQ5dbyVr8JBlvPkzQE0vqJUALCgUePUeRufAxMhdMJeBaXFQAACAASURB\nVODh+QgKJfmrFlK69VeCnviwSmA+jcLt4vcK2enAln4cTWgT1+92G5nvTkXbqDn6LrciqNT4jn6K\nrAXTyHjzPwRNXYR4iXPWB4oXXnjhhfoexNWQnJzMkSNH6Nev32U/NykpibfeeoupU6deUTV2TeHu\n7k5cXBzvv/8+LVu25IPdxQyI8WFYizOOQ66eWT2rDuSiUytoHVxVwKK2kWWZo7nlTP/5KJtOFtHM\nzx2DRsFvCfnsSC0mLkCHh7Z2vugfbUlnV1opaya2om8THzpHeDK+fSAn8y2sSyygb7TxkkFBlmXs\nThmnJANynelXOySZiSsO83DXELo1OuMIJQgC3SM9mbshhS1JRQR7aii3S6QWWnjv3zQ2nSji/o7B\nhDTArYyUQgsv/Hacf5OKaernjloh8OPBPP49WUisvw5v96ubPC7+Nw0PrZLHeoRW+pxHGt1ILrCQ\nV2anU7hnvWmQm0wmWrVqxapVqzh69CgxMTGo1Q1TX9uel0HWov+ibdwK9+Zdka1l6DsNpnzfX5Tu\nWIuocUOh88SSuMvValRHOuGiWot78+6Ubv6R8iM7KU/Yhnn7WgImv4U64Mq3DOwZJ8ha9DgoFKiD\nGmM5thupOB9d+/7kfPA0Cp0H2kbx6Nr0xZZyBIXe66LtWenp6Rw+fJhevXrVqUrY9Zkvw6XyNXPm\nTEaNGlWnqewLERISwsiRI5k5cyb7knMZHFt11igIAnEB7vyRWFDFiL4uKLdLvLsplWhfd5aNiePZ\nfpE8c1Mkn90Viyy7Amht8U9SEQ90DsLrrIIplULkvo5BHMpypcQvRrHFway1Jxn+8T6Gf7yP8V8c\nIjGnbhTnMoutbE8poWtk1e0IQRCI89cRaXRj8eZ0Xvn9JK+sO4lShPdGNqVdaMNMuT3x41HUCpHF\no5oxvW8Ez/WP5KM7YvB2UzH7jyQczis3CZBlmTUJ+fRrYjzvBLRfU2/WHy0gz1y/Zi/h4eHMmDED\ns9nMrFmz6kxR7HKRbBbUYc2wpiVSdvAfspc8gyMvHb+H5uAoyKLg5yXkfPYSRX98geysW2U6pacP\n/g/NwXpsLyUbVhA0bTGakKur+VEFNcJ/0huU/PMDRX98iTa6NYYeIyj4fgFeA+/D0G044Joc+I5+\nCm10m5p4KTXOdRucv/nmGzp27EinTp3qeygVdOrUifj4eCIyNrItpfi8xxSUOegW6YnqAm5HtUmu\n2U5miY0RLf0qrYyM7ipGxPux+nBerYjDS5JMYk45jc8jRuJvUOOpVfLqugtrmxeU2Rm3/CC/JeQz\no38EswY2IthTQ48FO1ibUDtjPpsgDw0BBjWHss5/89apRe7vFMS341vwxdjmfDs+nuf6NyLc2DBt\nT7NLrHy1O5uHugRXmHoIgoCfQc2M/pEcyjKTXGi9xFkujCAItA4xsDu99Lx/35laStsQAyZ9/Suo\nnRYsiYmJYcqUKbWqsX+laAIj8Rv/Ih7dh5O/8l3cYjuRveQZCn5egiM3HVGrw5p6xLX/qq/7epbC\ntUuRJQdKYwA5n76A7Lw64yJBENCENME0/kWK139F0bovyXz7EfTt+mHoPKRSGl9QqhqkOhhcp8H5\n4MGDbN++nYEDB9b3UKowcuRI1HlH+eyPPZzIK0c6FThsTomNxwrYklTMTU3qxwS92OJAlmUM55Gd\nbOzrRn65g98S8mv8uqIoEGHUklxgqfK3XLOdEquT//YKu+DzfzyQi49OxeoHWtIp3JPWwQZmD47i\n7WFN+GBLBtmlVVdgDqdEVomN9CIrOaW2q1oJiqLAo91DWL4zi8ziM0Gr3O7kl0O5lNokYvwu3ZpT\nbneSUWwlvchKYbm94rNR1+xOL8XXXUmksWq6XaMU+SepiDUJ+fxwIIfxXxzkga8PMXbZAb7enVXx\nGboUt7f047fDeezLKD21DeGq3t6bXsKPB3PpE+VSejr92LRVR3jg60Pc++VBXvvjJCmFljp1ERo3\nbhxjx45l+vTpbNiwoc6uW10EQcCjx0hM41/EvG8TkqWM/K/noolsjixLBD/xUYUvs1xD4ieXwllW\nUtEuFfjouwQ99QmyLJH94bM4i6/sPiLLMrIkIcsy6oAIPPrcSd7yV1D6BmHoNgzO9qS+yOusq/fg\nYjTMSpNaZsWKFfTu3bteCsAuhbu7O3379Gbjrr94bFUgtzTzwVOr5FhuOZtOFPLakKh6k7P00CoR\nBCixOjGdUz9xLLccP72azuG1M/NuH2rgy11ZdI30QnOqetnmcLJiTzZBHuqLunL9fCiXce0CqxzT\nK8qbb/fmcDyvDH/DmX02q0Pi8+2ZfL/vlHmJAINjfXmwU9AVVwjf1zGIl9acYOqqRIbE+SLJsCOl\nmL0ZpUzvG4HvJVaBWSVW3tyQwt6MUkDAXS3yn64hF6wOr02aB+gx2ySO5pbT9JxJRVG5nSCDhjUJ\neVgdEuPbB+KjU2G2Ofl8eyY7UkuY0S/ikhX2LYNcRYbTfzpK/2Y+mHQqkgosrD2Sz9i2AXQ4VTy3\nJiGPBZtS6RNtpFWwHrvTlRKf8OUhXrw5ki6RXhe9Tk1ytrNVcnIyY8eOrbNrVwdBEPDsdTvl+/+h\nZMM3CFo9Zfv/xm/CLBTervoWa+oRSv5ehc/IaQiK2lOmk50Oiv/4Elvy4Yo+ZoCA/8wn76vXyf/p\nfUx3Tb/s8zoLsynZshqPbsOwZ6dg3vE7xtufwLxrHdkfzsCj1yh08d2RJYnCn5egjW6DW7P2lc5h\ny0qm6PelGG979JLFZ7XJdRecDx48SE5ODvfdd199D+WC9OnTh/Xr1zMy2MJPRwsot0sEe2r48I6Y\nei0OMulV+OrULN2eyXM3n7G2szokvt6TRZ8obzxrqbL4nvZBTPn+CK3nbuWF/hFkldp5dvVxik+5\nNx3IMvPDhHgCPCq3YEmSzN70UiK8tVVSxB5aJf4GNd/syaFzhOsmLssyE748yIl8C9/c04JgTw2J\nOWXcvewga4/k8eno2Ctq3TLp1cwf2oQvdmXy5a4sAFoE6vj5/paXlOfMM9u4ZfEeOod78vU9LXBX\nifxyKI8Rn+zjv73CmN43vE7T30GeGgbF+rBgUyqvDYnC7dT4HU6JZ345jkoBaoXA0jEtKtlOdgzz\n5L6vDnEy31JFT/1clAqBx3uF0b2RF2//lUKJ1YnRXcXiUc1o7HtmUv3y7yeZ2iOMES3PFE/e3MyH\nj7ak8/6/aXQI96xThbnw8HDefvttZs6cycyZM2tcsORqKfzlQyyJO9E0bY81YRu69v0o/Ok93Jp1\nANlJ1vtPYehya60GZgBEBbq2N2HoPrxSVbZC74nP6Kdw5F5Z/YroZsCWfIj0N37GUZCNcfhkPHqM\nQBMSTfrse3Br0Q1wVcirQpqQPn8iQdPer1A5s2enkP7qPei7DK5dWdJqcN0phC1cuBCDwcDgwYNr\neWRXx4oVK7Db7fznP/+p76FUIMsyh7LMPP/bCTRKkZubGhEFgV8T8lCJAi/e0qhWRVIsdidv/ZXK\nZ9sysEsyHcI8mNojFINWwRc7s9hwvJD/6xtBn2jvSsFq4orD9GrszR2t/Co9nl5kYcr3icy8pVGF\nitf6xAL+810C6ya2Jugs4Y/CcjtDPtzLf3uFMbR57boUnctLa46TXGDl+f6RFFlcymMGjYJSq4O7\nlx/km3EtaOJXt1mg9CIrT/7kKgq7qYk3NofE2iP52JwyQR5qQr20TO0ZVqmCXpJlnvjxKCUWB4tv\nv3KXttMczCxlyId72TylXcXe92lyS230e38339zTnCjfus+Qmc1mPvvsM5KTk5k4cWK9y/RKFjOF\na5dS8tdKNGExSDYLooeRsu1rUAWEI9ttKL380DSKx3vIQ9VSzmqoWNOOkj57PApPXwImv4k1JYH8\n795F1/YmzNt/w3f0U+haunTSi/9eRfHGb/EZ/ggKb39yl72KJjwG422PVNwrbiiE1RE7d+5kypQp\n9T2MS9KpUycWL15c38OohCAIxAboeX9UM1buzeF4nmsPuFdjb4a3MOFdy/24WpWCp/qEcyCjlFti\nfLizlX9FmnlG/0jCt2Xw3b4cujf2Qq04ExQGx/jy3r+ptAzSE3MqCJfZnCz8Jw2DRlGR0pZlmS92\nZTIi3lQpMAN4uam4s5V/RRXx2SvC2sRsc/Ld3hwe6hLMs6uPYXHIKETX/v+tcSbCvLSsOZJHtKlu\ni8eCPDW8NawJPx7MITGnHIABzXwY2tzES2tOYNKpOXfBKgoCkgwr9ubUSHBOLbLirlKctw9cqRBI\nyC4jq8RWL8FZp9PVimDJlVK2dyOWxF24xXbEnp2C6Z7nUfmFke8bTPG6ZTjyMpACI/EZXT1Jy4aM\n0tMX04SXKNv7F1mLn0YqK8b3rqdxb94VXZs+lawjDR0GIDsd5C6fjaBxwy22E94DJjSIQszrKjgn\nJSWh1WprtHVq/vz5vPzyy0iSRH5+zRVDhYSEYDabSUpKqvdZ97kY3VXc2zGQ091cokCd9ZsWWxyc\nLLDQNdKr0v6vKAh0Cvdk/sYUissd+J61kurX1MjhbDP939vFqFb+aJQCaxLy8TeoWTSyaaWb+8l8\nywUV2CKMWn5LyKPM5qzx4Fxmc2JzSAgCuKsVFdX4ZquTXLODOX8k8Wj3UO7tEIhSFDmSY2bCV4dJ\nK7LSIkhfSXu6rvDRqRjXrvLnQADahXqwNbkIh+SP6qxJks0hYbY5eXtYzcjjdo3wpNjq4HB2WRUR\nm+wSG90beVZMxuqLAQMGYDKZWLRoESNHjqwi01tXuMV1RRvTEdnpRFQoEfUuYRdDlyGUbl2NnJ2C\n793Pog6s6qB2raHQe6Fr1RvZbqfo9+Voo1riHtsZQVSgjWxe6VhBpcataXvyV7yJsygP44gpCJqG\n4YJ3XVVrb9u2rcZ0s8vLy3nggQdYuXIlknTllbwXo2XLlhw8eLBWzn21iIKAUnT91KUQRHaJDbVS\nxF115qNrtjn5+0QhW1OKKbNLHM8rr/QcjVLk8V5hfHpXHD7uSvRqBRO7BPP9vfGEe59ZcQqCwB2t\n/fhiZxYWe+VqTYdT5qvdWQyO9a0U+K+WonIH7/yVwsAP9jD8k30M+XAvoz8/wIZjBdidEia9CpNe\nRXyQnke6h+DlpkKvUdAmxINV97bA7pSID9TVmxjHuZ8DQRCID9JzLK+c5TuzyDPbsTslii0Olu3M\nJK3QUmPdBjqNkttb+vHuplQSss3YnRLldidbkop47PtEbmnmc9nZHLPNycZjhfyRmM8fiQWczC+/\n9JMuQbt27XjuuefYsGED77333lWf70pQ6DxQGoyovEwVnsa2zJPkfj4Tfdt++D00h/zv36X88NYG\nUal8NcgOO6Xb11Lww3sEPDwPlW8wGe88gj0nFaisCW5LO0ruslfx6DkK/4fnkb/yHSwJ2+tr6JW4\nrlbOBw8epH379pc+sBoMHjwYk8nEL7/8QljYhdt4rgaj0ci2bdvqbbbdEGns64aHRsHhbDO+OhV5\nZjuvrU/mUJYZUXAVgD350zGm9QxlYIxPhZmEIAj0ifamT/TFq5uHxJlY+Hca8zak8Gh3l253Ybmd\nxf+mcySnjBn9Ii/6/MtBlmWe+eUYJVYHrw+JopGPFrsks2p/Lg9/m8CIeD8a+WjJLLGe0uLOZUic\nL0pR4HheOS//fhK1QiC5wIokV1U8yyy28veJIiwOCXe1SN8oYyUjjtoiyteNp/pEMG9DMl/tzsbb\nTYnZ5kStEE5Vptfc5Oa/vcP5YHMaj65MxFenwi5J5JntjGkTwPAWpstKT2YWW5m7IYWDWWYivbWU\n2pwkF1h4rEcoA2N9r6qw7LRgybx585g+fTrPPvtsvRaKWZIOkr3k/9C36YvnzfcguukR1VryVy3E\nR6XGrUnbehvb1SA7HRT/8yOFv36MacwzuMV0xD2+B/kr3yX3yzn43fsSCr2r+NOWlUz2ZzNxa9be\nlcpWqZEsZnK/mI3P7f/FPa5zvb6W6yo4AzUm09m+fXtefvllFLVY1di0aVNOnDhR7ePL7U62p5RQ\nVO7ATS3SJthw1TKKDQ1BEOgY5sGzq4/z5d1xvLjmBDICz94Uwf1fH2Jil2AcksyU74+wNyOIx3uG\n4XYZKWiTTsWqCfE8svIInd/ejrebiuxSG4183PhhQnyNBpbkAgtLd2Zy4L8dCfbSIAgCGcVWvt+X\nQ4nVyQdb0gn20JBjtnNfhyBmrjnBa38koVIKpBRYGd3any7hnhRbqoo2ZBZbuGvpQRySjK9ORWqh\nlQV/p7F8TBx+htqVZ1QpRDqFe/DZXbHsSS/Fane5dLUNNeCuVtTofp6fXsVTfcK5rUUZOaf61aNN\nbgR4aC47mzD9l2OoFSJfj2uOUhSQZJmtycU88t0R3NWKq17x63Q6ZsyYwaJFi5gyZQozZsyoly0r\nyVpOwcoFeHQdime/uytEOQxdhiBLTrKX/B9hr/yEUIdSlTWFPfMkJX+vxP/B19CExyAIAgp3Az63\nPULul3Mo/us7vAdMQHY6yfn0BbRRrfAe8hCCQunqBe82DFHtRvbipwiZ+T1Kj/rRlIDrLDjn5OTU\n2Llmz55dY+e6GGVll5aYlGWXgtbcDa4VpIfWtVLx1CqZ0S+ClkH6KnaE1zIPdwtBIQrc8sEeskps\ndIv05KEVh+kbbWRfRikn8y34GzTM25DC+qMFvHhLIzqEeqCuhruTIAiEeGn56I4YNp0opNwuoVcr\n6BrpVeNtYn+dKKJtsIGQU0YYDqfEvV8cpGO4J5/fFUvb+dt4fUgU8zem8OXuLF4Z2BiFIOCUZYI9\nNUQY3Rj+8V5m9DdVCkS5Zht9Fu3m/k5BTOwcjLtaQanVyevrk+j3/i6+vacFUbVsuygIAm4qBZ1q\nqe/97OuoFK5CxVKrkx0pxexILUGghDBvLTH+umqp6RVbHCQXWHl/VFN0Z03mejb25r+9wvjnZCG9\norxrpC1r0qRJFWY7Y8eOpWfPnld9zstB1Ljh99BriFp3BOHMeyOICjy634a+Td9rMjADqAIjCZr6\nPoKmcuuk6KbH967poDylaKdQEPDwfER3j0rHCaICQ6eBuMV1Rmmoew2Bs7k2/wNXSF5eHsHBwfU9\njGpjNBpJTk6+5HG5ZjsjP93HXW38eWVgY3x0KkqtDn7Yn8vdyw6w7O442oRUdfAptjj4+WAuKYVW\nRAHahnrQPdILpaL+KxUvhl6j5LGeYRRZHPyeWMDdbQMJ8dTw4poTdAr3YMGIpuxMLWHc8oMMjvXl\nuV+PM3tQFB0uwx/a213FkLjabZlSKwSsDqkiJb0tpZhyu8S0nqGU2SVE0SU28tLNkYz4dB//nCzi\n+f6RaJQiu9NLeHTlETqEeRAbUDk9ump/LiFeGiZ3DamYkOg1Cp7vH8nxvHL+OFpAY9+GKQ16pRzJ\nNvPGn8nklTmINGpxynA0t4xhzU2Mbx+A4hISjT8fzMWkVxHmXbUVMNyo5dV1SUztGYahhuxJ61uw\n5ELiGoIgoNB7IVnKcBblojSFVJK3lGUZe1YyCoM3Cl3D81sXRAWC9vwTT/GcQi+F7sITx/oOzHCd\nFYQBDVIV7EJUNwW/NiEflULgid7hFVaSeo2SO9v4c1MTI9/tq5oxKLE4GLf8IB9tzUCWZQrLHUxZ\neYRX151EqgdTjctFKQr0b+qDUhS4uZmRUpuTYouDx3qGolcrEIBwby1j2wYwOMaXTccL6k3u8kL0\njfbmYJa5QnN78b/p9IryxkOr5JOtGfRq5EX7UA/ig/S8NTSaBX+nETHrHwJf3MTtn+7njlZ+zLs1\nukIEBFw3z+U7MhnTJqBKpkAUBca0DWDlvhyyS211+lprk2KLgwdXJBDsqeXzu2KZPTiK14e4ft77\nJ41VB3IveY4ADw0lFmeFVOjZCECwpxpFDU9mwsPDmT17NgcOHGDevHkNyjjDnpNK+pv/wZp8uPLj\nmSfJfHcKlmN76mlk1w/XXXCuTpq4oZCXl3fJY2RZ5s9jBdzZ2r+KZaIoCIxp48/6o4WkF53RdLY7\nJfov3k2Et5avxjXnqb4RzBzQiK/HNefXw3m8+VdKneoSXyldIjwRge0pJXy9O4vOEZ7o1EqsDomN\nxwu5uZkPXu4qukV6smxndr27GJ2Lj07NtJ5hPP5DIqsP5WLQKjmUZeb19cl8tSeLCR2DEE5VQJfa\nJIbG+bLx4TZse6w9O6d1YGRLvyoBWBAEGvu6cTS3DJtDYntKMS+vPcmr607yxvoktqcUE+njVmvW\nnvXB3vRS1AqB5/pH4K5WVFSPN/PTcW+HQBb/m479EtroPRp5YXW4ajbOxmJ3svF4IUObm9Cqav52\naTKZmDFjBm5ubsyaNatGt96uBnVwFF4D7iVzwVTKDm1BdjqwJieQ9f6TGLrcintMx/oe4v8811Vw\n9vHxIS0trb6HUW3y8/MJDQ295HEhnhqOZJ9/0pGQU06op6aSrvT+jFJSCq08d3MExlMFY4Ig0Mxf\nxysDG7P6UN4lLRgbAgpRYGy7AOb+mURWqZ2EnDI2nyziqZ+OsSO1hMGxrpV1erGVWH/3SivMhsIz\nN0UwoUMQS3dkkVxQzurDeRzKMrNsTBzdT3k/l1qdrNqfw23xJuKD9DQxueNnUF+w4Gl0G3++2p3N\nnPVJ/N8vx1AqBLy0So7llTN/QwoeWgVCnXdF1w6yLJOQU0acv+68afreUV5sOlHI/syLr0oVosDw\nFibm/pnED/tz2J9RypakM5+lfk2MtdaudlqwpG3btkyfPr1BtE8KoohH16EYh08md/ls8lctImvx\nU+g7DcKz7+g683y+nvnfmT5XA5OpbmUXa4JLtVsIgsDAWF96LNjJCzdHEnyWfGa53cncP5N5ondY\npZXSphNFdIv0wNutaiV310hPNh4v5Itd2TzQ6cIG5A2Fce0CCfXS8sjKBJILrexIKea2FiYWj2qG\nj06FU5L5Zm8OQ2J90akb3lxUIQqMiPejXxMjNqfMgk2p/JaQh1OSKbE6SC6w8MjKI/jrVfQ9R5b0\nQnSN8KJXYy/e+yeN90Y2pXsjL47klPHB5nQ6hnuwN72UE/nl9S7QUVOYdCqyzuMsBnA8z4K/Xk2T\naqiE3d8pmChfdyZ/dwSnLCNJMsOa+1Z8lmqbkSNHYjKZmDt3LuPGjavzQrFzERRKDJ0GIShUZC54\nDN+7puPVb0wly8Ub1B7X3bucl5dXY0IktU1CQkK1jmsTbGBy12Du+fIgk7uGEOKlpaDMzpItGTQP\n1DEkzrfS8c0DdLz7dypWh1TFdOFIbjmtgw3cGlszLWe1jVopcnMzH45M78Irv59g4/EiBsX6klRg\nYU96KW//lYJBq6R3VPUCW32gEIWKlrcZ/SOI9NHy4DcJOCQZQYBR8X5M6xla7Yp7tVIk1l/HztQS\nXlmXhG2Nqx96as9QRrX0Y/rPx/j7RGG9BmdZlim3S5TZnMi4VNHcVeJl/48EQaBVsIHZfySx6Xgh\nHcJcVfmyLJNXZuez7Rk83DUE3UVcy06jOfVZSnym/vpbTxeKzZ07l0OHDjFx4sR6G4ssy9hSEylc\n/SHuLbpStG4ZmvBmuDVpV/vGGPWIZLNQ8u9P6Nv1q1w0JstYju4BATSN4mv9fnJdBefY2FiOHDlC\np06d6nso1SI/P79aoimiKPDa4Ch+PJDLz4fykGQZWYabor25p31glX3J9mEeyDJ8ui2De9oHVgTo\nnFIbs9edpGcjr1rvha0NpvUMo3lAPkt3ZKJWijicMrfG+XJHa/8aq7KtbVQKkfHtAxkc64ssuwK3\nl5uySj3BpdieWsKUHqEMjPHFKckoFQKeWiWiACFeWj7bnsn9nS6/c6Hs1HaHQgSN8spv0CfzLbyz\nKfWU7zIEeqh5tHso0VfQ4hXsqWFqj1Ce+/U4vRp70zxQh1OS+eVwHj46FXe3C7jicdYH4eHhvPrq\nq8ycObPeBEtkWab88HZyl72ModswPHqOxLxrPbnLZ2McPhldq14I4v9mgJYdNsy712NLScA4fLLr\nMVmidPtaSn9c6GrJqgOujTtWDdG+fXv+/PPP+h5Gtdm7dy/Dhg2r1rGCIDA41pc+0d44ZVcxgZtK\ncd62KL1GyVdj45i0IoH9mWaGxPpSanPyweZ0vNwUPNknrMGuMi+GVqVgcJwvvaK8K7SmdWrFZQe2\n+kYQhCouS5dLu1ADyQUWvN2VlfZKLXaJlELLZW9ZWOxOZvx6gq92u+wu1QqBxaOaXVFG4mCWmXHL\nDjAw1ofZgxojCAJf7Mxi8JI9LBjR9LLFPk5vDXQM9+D19cks3VGCILj8uu9pF3hNFr/pdDpmz57N\nokWLmD59Oo8//nidCpbYs1PIXfYyXgMmYOg0sCLFrdB5kvfVGygMRtyiW9fZeOoShbsHfvc8T/an\nL1Lw/UJochNy4jYKv91C4P2v4NasQ53cH6+9T+1VEB4eTnl5OampqVdtfmE0Vr2BnP3Y1ZpgpKam\n4u7ufllfSFEUqu013DrEgxXjW/Dibyd4ce0JFKeC+6PdQy7pL9yQEQXhmrwZ1zSDY3yZ9kMi+zJK\naRGoRxQEHE6JXWklnMy38GDn6q2aZVkmucDCEz8epdji5JtxzfFyU7IrrZTpPx/jwU5B3HcZK3BJ\nlnn+1+MMbW5i+k3hKE/10D5zUziBHmqeW32crpGel128J4oCYd5uvHNb08t6XkPnbMGSunS2ErU6\nfO74L+6xnSr2mAVRxL1FNxAVlTyYawJnWQkl//yAvv3Nlc4tOx2UHdyCZC3D0K5fjV7zYii9/DCN\nfpqs959El3KSmzV5mO6aU6eSntfdXaxt27bs3r37qoNzTTpQnY/NmzcTE3P1tnoXI8RLywd31O41\nblA/hHprGRTry5M/HqVjmAceWiXpxTb2ZZTyUOdgGhmr57wjy7DqgEvU5NVBUWhObZE09dMR4qnh\n5d9PMr5D4CVFPk5zMt/CjpQS3hwaXRGYwZUtGNM2gMd/PMoHm9Pp1dibmGAEkwAAIABJREFUSKMW\nwxVOtCRZ5kSeBbPNiShAIx+3OrP5rGl69uxZUSg2cOBARowYUevXVHr6oGzRrcrjgiiia9G1xq8n\nCALO4jwy5j6I3/2voAlrBoB55x8Urvkc422Ta/yal0LpG4yu/c2YP36e4CYdUDeKr9PrN7zy1Vqm\nV69ebN26tUH3O5eVlbF582Z69epV30O5wTWKRikyoUMg84c2QRQFymwSfnoVn4yOYXiL6vfs2pwS\ne9JLGRDjWxGYT/P/7J15XFT1+sffZ/aFfRhAWQZEQFFxw71cyy2XSr2taNtNqW6LtnlvWqk3rTSX\nbmn1q1tatmibqWiaS6vmkguggCggsg0g2wwMs5zfH6MkV9xhgJz368UfnDlzzvfMOef7fL/f53k+\nT88QT7xUMtYcuPzc3MLKWqQSgSCv+jWDHQ6RVXvzKau28dLmE4x9/yATPjrMseIrf0/tDgevbstm\nyNv7uf2/hxj9fwd59Ms0Citbr/BKbGwsCxYsYM+ePaxYsaJFCZY0BhK1B75jpuLR9xaK/m8m1qKT\nVKfto2TtYnxGP4C6Q2+XtkcURcwHf6R8y8dYJr3Ar3v/oHLTBy5tw3VnnGNjY9Hr9Wzbtq25m3JB\ntm3bhsFgIDY2trmb8pdCFEWKqmo5WmTiaJGJrNLqS4pTtGbkUgmxQVpeGtGO2SMieH5YOMHeqivy\nwdtFqLLY8Gwg2lkhk6CQCiz7+eRlHy+urQdyqcAvJ8rqhG5qrHZe3Hychdtz6KDXsO+pXhz/Vz8G\nhHvzwGdHOFp4+Yao1Gzl/s+O8H1aKZumduPYv/pz9Lk+aJVSJq9OwWw5v0hIa+GsYInJZGpRgiWN\nhUShxGf4ZOzmKvKXPsap+ZPxu+0faLsNBruNsi2fULlrA6LYtO+sKIrUpO+j5Os38b/7eSyGbhwN\nu4GqtP0Ur16Ao9o1A6MWbZyrq6uprKy89I5XyMSJE9mxY0eLnD2bzWZ27NhBYmJiczflL4XN7iDp\nSAmJa4/y8uYTLPghm8e/Suf93XlUteIOu6lRSgWi/DUk51ed91l+hYWyahvrH+p62cfTKqQ80LsN\nC3fkcOBUFQ5RpKjKyo/Hywj0VDA0yocwXxVSiYTnh4VzYzsfvku9tPzmWfaerKC82sa3D8QReyZV\nTKOQ8croSHzUcr5OvvxjtUS0Wi0zZsygY8eOzJw5k+zs7OZuUuMilaGK6k5N+l4kKg2K0GhEq4XS\nb97GtH8riraR0MQCOg5TOcWfL8RnxGS0XZ255hJdW/QPzac2/zhV+7a6REGxxfqck5OTWbx4MRER\nEbzwwgsN7iOKDkR7wx2raLeBIDQY7h8bG0vPnj3ZuHEjEydObNR2Xytr166lZ8+erVIwpSXz2YEi\nFu/M4cXhEfQO80IqETh5uoZ//5BFYWUtL45o19xNbJFIJQL9wr2Z8/0JIv3VDGnvDHq02R0s3JGD\np0papzJ3uUzrH4xaIWHa2qOE+qqoqLZxON/Ec0PCeKhvcN3MXimT0CvUi2fWH+MfN1w6UNEhiuw7\nWcmgM/rk5+KlkjEgwpsZ6zKY1IDsaWtj8uTJGAwG5syZ0yIESxqLmsyDWLKP4tFvLFW7kyh6byby\nwHAs2Sm0eWo58oCmzySRqLQEPPQKioBQBNmfz7Y8MIzAh19FdLhGPbFFGufffvuNt956C41Gc9Gl\nG1tJAep1i/B31M9jtFeVUbx6AdruQ/HoNbzB706aNInnn3+ekJCQFpP3vGvXLg4dOsSyZcuauyl/\nKaqtdraklfLqLZHcFPOnuIreQ8HMYeEkrk3juaGGFhGlflY8I63IjN0hIpUItNOpCfJUNEt6myAI\njOqoQ0Rk6po04kOcNcIP5VXS3l/DwrFXLujjoZSR2D+E/gZvUgpMHC4wEemv5h83hp4XtCUIzt/k\nsuYpIlgdIl4XEGuRCOAQ4TKP1uI5t7JVcwuWXCuizYr58M8ULH+agAfm4tFnFCVrF1O6dgmW44cx\nLNyCPODSUsaNgSCTo2zb8GBd6sJqVS1y+BgUFMQbb7xBz549L7qfzEePT6+b6VZygNMpv1NRUUFZ\n7nGKPnwZQa5E1eHCAh56vZ7Zs2ezdu1acnNzG/sSrpjc3FzWrFnD7NmzXS448FenxGSlqtZGpzbn\nl8nrFKSlxuZg0c5Ll+Z0BYfyqpj+TQZv/pzLp38U8p+fc5m65ihb0kubzT8uEQTGxOrZPLUbYzv5\nc0OEN08OCuM/t0fT1lt56QNc4JjdQ7y4N74Nif2DMVZZKTXXl+C02h0czq9iSnyby0qtkkgEeoZ4\nsv3YaSy2+r9VtdXO7zkVzBvV7qrEU0RR5HB+Fct/zWX5r7m8vzuPYlPzB5gZDAaWLVtGVlYWc+fO\nbbWBYnZzJVX7fyBw2ut49BmFWFsDggR5UDiCTE7Fz9+4rC0Wi4WKioq6P7PZ7BwgurgYUIucOUdE\nRFzWfoJMTpo6lK05JnQLp/KNWc+NmipOlZRz58qdSD18Lvp9g8HA5MmTWbJkCXPmzGm2cpIlJSUs\nWbKEKVOmuFRo4HpBIgiIojMt6H9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z6R9FgLOT6RHiRXWtnQ/3FLikbWfFMLJKq8kqqaag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\nYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 7,
     "metadata": {
      "image/png": {
       "width": 300
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('./1-classification-triangle-lines.png', width=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let $z^{h_i}$ and $z^o$ be the input to the sigmoid function at the hidden and output layers.\n",
    "\n",
    "\\begin{align*}\n",
    "\\frac{\\partial l}{\\partial w_{1,2}^{[1]}} \n",
    "&= \\frac{\\partial l}{\\partial o} \\frac{\\partial o}{\\partial z^o} \\frac{\\partial z^o}{\\partial h_2} \\frac{\\partial h_2}{\\partial z^{h_2}} \\frac{\\partial z^{h_2}}{\\partial w_{1,2}^{[1]}}\n",
    "\\\\\n",
    "&= \\frac{1}{m} \\sum_{i}^{m} 2o^{(i)} o^{(i)}(1 - o^{(i)}) w_2^{[2]} h_2(1 - h_2) x_1^{(i)}\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we used the fact that for the sigmoid function\n",
    "\n",
    "$$\\sigma(z) = \\frac{1}{1 + e^{(-z)}}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's derivative w.s.t. $z$ is\n",
    "\n",
    "$$\\frac{\\partial \\sigma}{\\partial z} = \\sigma(z)(1 - \\sigma(z))$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Based on the hinted triangle, we construct the following matrix multiplication as \n",
    "\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    " -1 & 5 & 0 \\\\ \n",
    " -1 & 0 & 5 \\\\ \n",
    " 4.2 & -1 & -1\n",
    "\\end{bmatrix} \\begin{bmatrix}\n",
    "1 \\\\\n",
    "x_1 \\\\\n",
    "x_2 \\\\\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "When the data point is within the triangle, the $f(z$) will be $[1, 1, 1]^T$. Otherwise, it's one of the seven binary vectors. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, let's construct the second matrix multiplication as \n",
    "\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    " -1 & -1 & -1 & 2.5 \\\\ \n",
    "\\end{bmatrix} \\begin{bmatrix}\n",
    "1 \\\\\n",
    "1 \\\\\n",
    "1 \\\\\n",
    "1 \\\\\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "The addition $1$ in the vector is the bias. Therefore, only when a data point is inside the triangle, will the product be $<0$, and hence categorized as class $0$. Otherwise, it will be classified as class $1$. Hence, the accuracy is 100%."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# (c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No, it can't because the current classes cannot be linearly separately. If the activation is linear, then it's an affine transformation from 2D to 3D spaces, and the classification problem will still be non-linearly in the 3D space, which cannot be solved by a step function."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Demonstration of linear transformation from 1D to 2D space."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No bias is included, so it's linear instead of affine transformation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = np.array([[1, 2, 2.5, 3]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "b1 = np.array([[1, 1]])\n",
    "b2 = np.array([[-1, 1]])\n",
    "b3 = np.array([[1, -1]])\n",
    "b4 = np.array([[-1, -1]])\n",
    "\n",
    "c1 = np.array([[0.5, 1.5]])\n",
    "c2 = np.array([[-0.5, 1.5]])\n",
    "c3 = np.array([[0.5, -1.5]])\n",
    "c4 = np.array([[-0.5, -1.5]])\n",
    "\n",
    "d1 = np.array([[1, 0]])\n",
    "d2 = np.array([[0, 1]])\n",
    "d3 = np.array([[-1, 0]])\n",
    "d4 = np.array([[0, -1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f55e308dc18>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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LVr60Mms6d7pUolft7e1dy8rKmC2jV83NzQXdjV79/PPPTdlstkdBQYGap6cn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\ngzohhBDiJP4/Hfjg8CpJG5gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f55e311e4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(a[0], np.zeros_like(a)[0], 'o-', c='k', label='original')\n",
    "for _ in [b1, b2, b3, b4]:\n",
    "    plt.plot(*a.T.dot(_).T, 'o-', label='by {0}'.format(_.tolist()))\n",
    "for _ in [c1, c2, c3, c4]:\n",
    "    plt.plot(*a.T.dot(_).T, 'x-', label='by {0}'.format(_.tolist()))\n",
    "for _ in [d1, d2, d3, d4]:\n",
    "    plt.plot(*a.T.dot(_).T, '^-', label='by {0}'.format(_.tolist()))\n",
    "    \n",
    "plt.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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